Greatest Common Factor of 672/67, 732/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/67, 732/352

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 672/67,732/352

Given fractions are 672/67,732/352

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 672,732

Greatest Common Factor of Numerators i.e. GCF of 672,732 is 12 .

LCM of Denominators means LCM of 67,352 as per the given fractions.

LCM of 67,352 is 23584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,732

GCF of Fractions 672/67,732/352 is 12/23584

2 672, 732
2 336, 366
3 168, 183
56, 61

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 672,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,732 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 672,732 . The biggest common factor number is the GCF number.
So the greatest common factor 672,732 is 12.

Lets's calculate LCM of 67,352

Given numbers has no common factors except 1. So, there LCM is their product i.e 23584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/23584

Therefore, the GCF of Fractions 672/67,732/352 is 12/23584

Least Common Multiple of 67,352 with GCF Formula

Least Common Multiple of 67,352 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 67,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,352) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,352) x common factors =1 x 1 = 1

LCM(67,352) = ( 67 × 352 ) / 1

LCM(67,352) = 23584 / 1

LCM(67,352) = 23584


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 672/67, 732/352

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 672/67, 732/352?

Answer: GCF of Numerators as per given numbers 672/67, 732/352 is

GCF of Numerators i.e. for 672,732 is 12

LCM of denominators i.e. for 67,352 is 23584.

Thus, GCF of Fractions is 12/23584.Finally, GCF of Fractions for 672/67, 732/352 is 12/23584.