Greatest Common Factor of 6272/345, 2728/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6272/345, 2728/137

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 6272/345,2728/137

Given fractions are 6272/345,2728/137

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 6272,2728

Greatest Common Factor of Numerators i.e. GCF of 6272,2728 is 8 .

LCM of Denominators means LCM of 345,137 as per the given fractions.

LCM of 345,137 is 47265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6272,2728

GCF of Fractions 6272/345,2728/137 is 8/47265

2 6272, 2728
2 3136, 1364
2 1568, 682
784, 341

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6272,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 6272,2728 By Matching Biggest Common Factor Method

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 6272,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 6272,2728 is 8.

Lets's calculate LCM of 345,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 47265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/47265

Therefore, the GCF of Fractions 6272/345,2728/137 is 8/47265

Least Common Multiple of 345,137 with GCF Formula

Least Common Multiple of 345,137 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 345,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,137) = 1

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

GCF(345,137) x common factors =1 x 1 = 1

LCM(345,137) = ( 345 × 137 ) / 1

LCM(345,137) = 47265 / 1

LCM(345,137) = 47265


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 6272/345, 2728/137

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 6272/345, 2728/137?

Answer: GCF of Numerators as per given numbers 6272/345, 2728/137 is

GCF of Numerators i.e. for 6272,2728 is 8

LCM of denominators i.e. for 345,137 is 47265.

Thus, GCF of Fractions is 8/47265.Finally, GCF of Fractions for 6272/345, 2728/137 is 8/47265.