Greatest Common Factor of 935/656, 7920/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/656, 7920/794

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 935/656,7920/794

Given fractions are 935/656,7920/794

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 935,7920

Greatest Common Factor of Numerators i.e. GCF of 935,7920 is 55 .

LCM of Denominators means LCM of 656,794 as per the given fractions.

LCM of 656,794 is 260432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,7920

GCF of Fractions 935/656,7920/794 is 55/260432

5 935, 7920
11 187, 1584
17, 144

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 935,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,7920 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 935,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 935,7920 is 55.

Lets's calculate LCM of 656,794

2 656, 794
328, 397

∴ So the LCM of the given numbers is 2 x 328 x 397 = 260432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/260432

Therefore, the GCF of Fractions 935/656,7920/794 is 55/260432

Least Common Multiple of 656,794 with GCF Formula

Least Common Multiple of 656,794 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 656,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,794) = 2

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

GCF(656,794) x common factors =2 x 1 = 2

LCM(656,794) = ( 656 × 794 ) / 2

LCM(656,794) = 520864 / 2

LCM(656,794) = 260432


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 935/656, 7920/794

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 935/656, 7920/794?

Answer: GCF of Numerators as per given numbers 935/656, 7920/794 is

GCF of Numerators i.e. for 935,7920 is 55

LCM of denominators i.e. for 656,794 is 260432.

Thus, GCF of Fractions is 55/260432.Finally, GCF of Fractions for 935/656, 7920/794 is 55/260432.