Greatest Common Factor of 6692/16, 7922/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6692/16, 7922/782

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 6692/16,7922/782

Given fractions are 6692/16,7922/782

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 6692,7922

Greatest Common Factor of Numerators i.e. GCF of 6692,7922 is 2 .

LCM of Denominators means LCM of 16,782 as per the given fractions.

LCM of 16,782 is 6256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6692,7922

GCF of Fractions 6692/16,7922/782 is 2/6256

2 6692, 7922
3346, 3961

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

Greatest Common Factor of 6692,7922 By Matching Biggest Common Factor Method

Greatest Common Factor of 6692,7922 By Matching Biggest Common Factor Method

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1,2,4,7,14,28,239,478,956,1673,3346,6692

Factors of 7922

List of positive integer factors of 7922 that divides 7922 without a remainder.

1,2,17,34,233,466,3961,7922

Greatest Common Factor

We found the factors 6692,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,7922 is 2.

Lets's calculate LCM of 16,782

2 16, 782
8, 391

∴ So the LCM of the given numbers is 2 x 8 x 391 = 6256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6256

Therefore, the GCF of Fractions 6692/16,7922/782 is 2/6256

Least Common Multiple of 16,782 with GCF Formula

Least Common Multiple of 16,782 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 16,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,782) = 2

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

GCF(16,782) x common factors =2 x 1 = 2

LCM(16,782) = ( 16 × 782 ) / 2

LCM(16,782) = 12512 / 2

LCM(16,782) = 6256


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 6692/16, 7922/782

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 6692/16, 7922/782?

Answer: GCF of Numerators as per given numbers 6692/16, 7922/782 is

GCF of Numerators i.e. for 6692,7922 is 2

LCM of denominators i.e. for 16,782 is 6256.

Thus, GCF of Fractions is 2/6256.Finally, GCF of Fractions for 6692/16, 7922/782 is 2/6256.