Greatest Common Factor of 6416/779, 7374/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6416/779, 7374/984

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 6416/779,7374/984

Given fractions are 6416/779,7374/984

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 6416,7374

Greatest Common Factor of Numerators i.e. GCF of 6416,7374 is 2 .

LCM of Denominators means LCM of 779,984 as per the given fractions.

LCM of 779,984 is 18696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6416,7374

GCF of Fractions 6416/779,7374/984 is 2/18696

2 6416, 7374
3208, 3687

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

Greatest Common Factor of 6416,7374 By Matching Biggest Common Factor Method

Greatest Common Factor of 6416,7374 By Matching Biggest Common Factor Method

Factors of 6416

List of positive integer factors of 6416 that divides 6416 without a remainder.

1,2,4,8,16,401,802,1604,3208,6416

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 6416,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 6416,7374 is 2.

Lets's calculate LCM of 779,984

41 779, 984
19, 24

∴ So the LCM of the given numbers is 41 x 19 x 24 = 18696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18696

Therefore, the GCF of Fractions 6416/779,7374/984 is 2/18696

Least Common Multiple of 779,984 with GCF Formula

Least Common Multiple of 779,984 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 779,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,984) = 41

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

GCF(779,984) x common factors =41 x 1 = 41

LCM(779,984) = ( 779 × 984 ) / 41

LCM(779,984) = 766536 / 41

LCM(779,984) = 18696


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 6416/779, 7374/984

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 6416/779, 7374/984?

Answer: GCF of Numerators as per given numbers 6416/779, 7374/984 is

GCF of Numerators i.e. for 6416,7374 is 2

LCM of denominators i.e. for 779,984 is 18696.

Thus, GCF of Fractions is 2/18696.Finally, GCF of Fractions for 6416/779, 7374/984 is 2/18696.