Greatest Common Factor of 7784/626, 5374/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7784/626, 5374/735

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 7784/626,5374/735

Given fractions are 7784/626,5374/735

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 7784,5374

Greatest Common Factor of Numerators i.e. GCF of 7784,5374 is 2 .

LCM of Denominators means LCM of 626,735 as per the given fractions.

LCM of 626,735 is 460110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7784,5374

GCF of Fractions 7784/626,5374/735 is 2/460110

2 7784, 5374
3892, 2687

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

Greatest Common Factor of 7784,5374 By Matching Biggest Common Factor Method

Greatest Common Factor of 7784,5374 By Matching Biggest Common Factor Method

Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1,2,2687,5374

Greatest Common Factor

We found the factors 7784,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 7784,5374 is 2.

Lets's calculate LCM of 626,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 460110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460110

Therefore, the GCF of Fractions 7784/626,5374/735 is 2/460110

Least Common Multiple of 626,735 with GCF Formula

Least Common Multiple of 626,735 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 626,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,735) = 1

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

GCF(626,735) x common factors =1 x 1 = 1

LCM(626,735) = ( 626 × 735 ) / 1

LCM(626,735) = 460110 / 1

LCM(626,735) = 460110


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 7784/626, 5374/735

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 7784/626, 5374/735?

Answer: GCF of Numerators as per given numbers 7784/626, 5374/735 is

GCF of Numerators i.e. for 7784,5374 is 2

LCM of denominators i.e. for 626,735 is 460110.

Thus, GCF of Fractions is 2/460110.Finally, GCF of Fractions for 7784/626, 5374/735 is 2/460110.