Table of Contents
- 1 How do you find GCF with continuous division?
- 2 How do you know when to find the GCF or the LCM?
- 3 What is the LCM of 10 and 12 using continuous division?
- 4 What is continuous division?
- 5 What is the GCF of 6 and 12 using continuous division?
- 6 What is the GCF and LCM of 10 and 12?
- 7 What is the difference between GCF and LCM?
- 8 What is the LCM of 2 and 3?
How do you find GCF with continuous division?
Using Division Method to Find GCF
- Step 1 – Divide the larger number by the smaller number using long division.
- Step 2 – If the remainder is 0, then the divisor is the GCF.
- Step 3 – If the remainder is 0, then the divisor of the last division is the GCF.
How do you know when to find the GCF or the LCM?
The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers. In this example, the least common multiple of 3 and 6 must be determined.
What is the continuous division of 6 and 12?
The LCM of 6 and 12 is the product of all prime numbers on the left, i.e. LCM(6, 12) by division method = 2 × 2 × 3 = 12.
What is the LCM of 10 and 12 using continuous division?
60
Answer: LCM of 10 and 12 is 60.
What is continuous division?
Continuous division You can use a method called continuous division to find the greatest common factor (GCF) of a number. The GCF also deals with prime numbers. You can carry out continuous division by: 1) Writing down the two numbers you’re trying to find the GCF of. 2) Draw an “L” shape surrounding them.
What is the GCF using continuous division of 12 16 and 24?
4
The highest number that divides 12, 16, and 24 exactly is their highest common factor. The HCF of 12, 16, and 24 is 4. ∴ The highest number that divides 12, 16, and 24 is 4.
What is the GCF of 6 and 12 using continuous division?
Answer: GCF of 6 and 12 is 6.
What is the GCF and LCM of 10 and 12?
LCM of 10 and 12 by Prime Factorization LCM of 10 and 12 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 31 × 51 = 60. Hence, the LCM of 10 and 12 by prime factorization is 60.
How to find the LCM of two numbers using continuous division?
Therefore, using the continuous division above: As you can see from above example, it’s very easy to determine the LCM → just multiply ALL the divisors. Now, about the 1 divisor part. It is to accommodate GCF. For instance: 2 and 3. Both are prime numbers. The GCF will be 1. LCM will be 1 × 2 × 3 = 6.
What is the difference between GCF and LCM?
For each row which ALL elements can be divided (no remainder), include the divisor (s) as GCF. For each row which SOME (at least one) elements can be divided AND ALL elements can be divided, include the divisor (s) as LCM. WHICH ONE IS GCF? From the table above, look at the leftmost column, the divider (divisor).
What is the LCM of 2 and 3?
It is to accommodate GCF. For instance: 2 and 3. Both are prime numbers. The GCF will be 1. LCM will be 1 × 2 × 3 = 6. You can try it out using the table method above. This is pretty much a direct method, rather than using tree factors and grouping/clustering.
How do you know if a number is LCM?
Look again at the divider (divisor) column, the ones which can divide SOME elements (at least one element) AND can divide ALL elements are included as LCM. Basically, ALL numbers on the divisor column.