Greatest Common Factor of 5696/890, 7808/6345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5696/890, 7808/6345

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 5696/890,7808/6345

Given fractions are 5696/890,7808/6345

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 5696,7808

Greatest Common Factor of Numerators i.e. GCF of 5696,7808 is 64 .

LCM of Denominators means LCM of 890,6345 as per the given fractions.

LCM of 890,6345 is 1129410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5696,7808

GCF of Fractions 5696/890,7808/6345 is 64/1129410

2 5696, 7808
2 2848, 3904
2 1424, 1952
2 712, 976
2 356, 488
2 178, 244
89, 122

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 5696,7808 By Matching Biggest Common Factor Method

Greatest Common Factor of 5696,7808 By Matching Biggest Common Factor Method

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808

Greatest Common Factor

We found the factors 5696,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 5696,7808 is 64.

Lets's calculate LCM of 890,6345

5 890, 6345
178, 1269

∴ So the LCM of the given numbers is 5 x 178 x 1269 = 1129410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/1129410

Therefore, the GCF of Fractions 5696/890,7808/6345 is 64/1129410

Least Common Multiple of 890,6345 with GCF Formula

Least Common Multiple of 890,6345 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 890,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,6345) = 5

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

GCF(890,6345) x common factors =5 x 1 = 5

LCM(890,6345) = ( 890 × 6345 ) / 5

LCM(890,6345) = 5647050 / 5

LCM(890,6345) = 1129410


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 5696/890, 7808/6345

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 5696/890, 7808/6345?

Answer: GCF of Numerators as per given numbers 5696/890, 7808/6345 is

GCF of Numerators i.e. for 5696,7808 is 64

LCM of denominators i.e. for 890,6345 is 1129410.

Thus, GCF of Fractions is 64/1129410.Finally, GCF of Fractions for 5696/890, 7808/6345 is 64/1129410.