Greatest Common Factor of 104/653, 7504/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/653, 7504/754

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 104/653,7504/754

Given fractions are 104/653,7504/754

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 104,7504

Greatest Common Factor of Numerators i.e. GCF of 104,7504 is 8 .

LCM of Denominators means LCM of 653,754 as per the given fractions.

LCM of 653,754 is 492362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,7504

GCF of Fractions 104/653,7504/754 is 8/492362

2 104, 7504
2 52, 3752
2 26, 1876
13, 938

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

Greatest Common Factor of 104,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,7504 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

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

Greatest Common Factor

We found the factors 104,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 104,7504 is 8.

Lets's calculate LCM of 653,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 492362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/492362

Therefore, the GCF of Fractions 104/653,7504/754 is 8/492362

Least Common Multiple of 653,754 with GCF Formula

Least Common Multiple of 653,754 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 653,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,754) = 1

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

GCF(653,754) x common factors =1 x 1 = 1

LCM(653,754) = ( 653 × 754 ) / 1

LCM(653,754) = 492362 / 1

LCM(653,754) = 492362


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 104/653, 7504/754

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 104/653, 7504/754?

Answer: GCF of Numerators as per given numbers 104/653, 7504/754 is

GCF of Numerators i.e. for 104,7504 is 8

LCM of denominators i.e. for 653,754 is 492362.

Thus, GCF of Fractions is 8/492362.Finally, GCF of Fractions for 104/653, 7504/754 is 8/492362.