Greatest Common Factor of 7504/13, 1932/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7504/13, 1932/677

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 7504/13,1932/677

Given fractions are 7504/13,1932/677

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 7504,1932

Greatest Common Factor of Numerators i.e. GCF of 7504,1932 is 28 .

LCM of Denominators means LCM of 13,677 as per the given fractions.

LCM of 13,677 is 8801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7504,1932

GCF of Fractions 7504/13,1932/677 is 28/8801

2 7504, 1932
2 3752, 966
7 1876, 483
268, 69

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7504,1932 By Matching Biggest Common Factor Method

Greatest Common Factor of 7504,1932 By Matching Biggest Common Factor Method

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932

Greatest Common Factor

We found the factors 7504,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 7504,1932 is 28.

Lets's calculate LCM of 13,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 8801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/8801

Therefore, the GCF of Fractions 7504/13,1932/677 is 28/8801

Least Common Multiple of 13,677 with GCF Formula

Least Common Multiple of 13,677 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 13,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,677) = 1

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

GCF(13,677) x common factors =1 x 1 = 1

LCM(13,677) = ( 13 × 677 ) / 1

LCM(13,677) = 8801 / 1

LCM(13,677) = 8801


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 7504/13, 1932/677

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 7504/13, 1932/677?

Answer: GCF of Numerators as per given numbers 7504/13, 1932/677 is

GCF of Numerators i.e. for 7504,1932 is 28

LCM of denominators i.e. for 13,677 is 8801.

Thus, GCF of Fractions is 28/8801.Finally, GCF of Fractions for 7504/13, 1932/677 is 28/8801.