Greatest Common Factor of 1616/77, 7956/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1616/77, 7956/672

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 1616/77,7956/672

Given fractions are 1616/77,7956/672

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 1616,7956

Greatest Common Factor of Numerators i.e. GCF of 1616,7956 is 4 .

LCM of Denominators means LCM of 77,672 as per the given fractions.

LCM of 77,672 is 7392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1616,7956

GCF of Fractions 1616/77,7956/672 is 4/7392

2 1616, 7956
2 808, 3978
404, 1989

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

Greatest Common Factor of 1616,7956 By Matching Biggest Common Factor Method

Greatest Common Factor of 1616,7956 By Matching Biggest Common Factor Method

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1,2,4,8,16,101,202,404,808,1616

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

Greatest Common Factor

We found the factors 1616,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 1616,7956 is 4.

Lets's calculate LCM of 77,672

7 77, 672
11, 96

∴ So the LCM of the given numbers is 7 x 11 x 96 = 7392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7392

Therefore, the GCF of Fractions 1616/77,7956/672 is 4/7392

Least Common Multiple of 77,672 with GCF Formula

Least Common Multiple of 77,672 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 77,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,672) = 7

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

GCF(77,672) x common factors =7 x 1 = 7

LCM(77,672) = ( 77 × 672 ) / 7

LCM(77,672) = 51744 / 7

LCM(77,672) = 7392


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 1616/77, 7956/672

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 1616/77, 7956/672?

Answer: GCF of Numerators as per given numbers 1616/77, 7956/672 is

GCF of Numerators i.e. for 1616,7956 is 4

LCM of denominators i.e. for 77,672 is 7392.

Thus, GCF of Fractions is 4/7392.Finally, GCF of Fractions for 1616/77, 7956/672 is 4/7392.