Greatest Common Factor of 7096/65, 6556/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7096/65, 6556/320

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 7096/65,6556/320

Given fractions are 7096/65,6556/320

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 7096,6556

Greatest Common Factor of Numerators i.e. GCF of 7096,6556 is 4 .

LCM of Denominators means LCM of 65,320 as per the given fractions.

LCM of 65,320 is 4160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7096,6556

GCF of Fractions 7096/65,6556/320 is 4/4160

2 7096, 6556
2 3548, 3278
1774, 1639

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7096,6556 By Matching Biggest Common Factor Method

Greatest Common Factor of 7096,6556 By Matching Biggest Common Factor Method

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1,2,4,8,887,1774,3548,7096

Factors of 6556

List of positive integer factors of 6556 that divides 6556 without a remainder.

1,2,4,11,22,44,149,298,596,1639,3278,6556

Greatest Common Factor

We found the factors 7096,6556 . The biggest common factor number is the GCF number.
So the greatest common factor 7096,6556 is 4.

Lets's calculate LCM of 65,320

5 65, 320
13, 64

∴ So the LCM of the given numbers is 5 x 13 x 64 = 4160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4160

Therefore, the GCF of Fractions 7096/65,6556/320 is 4/4160

Least Common Multiple of 65,320 with GCF Formula

Least Common Multiple of 65,320 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 65,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,320) = 5

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

GCF(65,320) x common factors =5 x 1 = 5

LCM(65,320) = ( 65 × 320 ) / 5

LCM(65,320) = 20800 / 5

LCM(65,320) = 4160


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 7096/65, 6556/320

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 7096/65, 6556/320?

Answer: GCF of Numerators as per given numbers 7096/65, 6556/320 is

GCF of Numerators i.e. for 7096,6556 is 4

LCM of denominators i.e. for 65,320 is 4160.

Thus, GCF of Fractions is 4/4160.Finally, GCF of Fractions for 7096/65, 6556/320 is 4/4160.