Greatest Common Factor of 7356/26, 7654/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7356/26, 7654/705

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 7356/26,7654/705

Given fractions are 7356/26,7654/705

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 7356,7654

Greatest Common Factor of Numerators i.e. GCF of 7356,7654 is 2 .

LCM of Denominators means LCM of 26,705 as per the given fractions.

LCM of 26,705 is 18330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7356,7654

GCF of Fractions 7356/26,7654/705 is 2/18330

2 7356, 7654
3678, 3827

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

Greatest Common Factor of 7356,7654 By Matching Biggest Common Factor Method

Greatest Common Factor of 7356,7654 By Matching Biggest Common Factor Method

Factors of 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1,2,3,4,6,12,613,1226,1839,2452,3678,7356

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1,2,43,86,89,178,3827,7654

Greatest Common Factor

We found the factors 7356,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 7356,7654 is 2.

Lets's calculate LCM of 26,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 18330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18330

Therefore, the GCF of Fractions 7356/26,7654/705 is 2/18330

Least Common Multiple of 26,705 with GCF Formula

Least Common Multiple of 26,705 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 26,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,705) = 1

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

GCF(26,705) x common factors =1 x 1 = 1

LCM(26,705) = ( 26 × 705 ) / 1

LCM(26,705) = 18330 / 1

LCM(26,705) = 18330


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 7356/26, 7654/705

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 7356/26, 7654/705?

Answer: GCF of Numerators as per given numbers 7356/26, 7654/705 is

GCF of Numerators i.e. for 7356,7654 is 2

LCM of denominators i.e. for 26,705 is 18330.

Thus, GCF of Fractions is 2/18330.Finally, GCF of Fractions for 7356/26, 7654/705 is 2/18330.