Greatest Common Factor of 5397/896, 5141/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5397/896, 5141/880

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 5397/896,5141/880

Given fractions are 5397/896,5141/880

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 5397,5141

Greatest Common Factor of Numerators i.e. GCF of 5397,5141 is 1 .

LCM of Denominators means LCM of 896,880 as per the given fractions.

LCM of 896,880 is 49280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5397,5141

GCF of Fractions 5397/896,5141/880 is 1/49280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5397,5141 By Matching Biggest Common Factor Method

Greatest Common Factor of 5397,5141 By Matching Biggest Common Factor Method

Factors of 5397

List of positive integer factors of 5397 that divides 5397 without a remainder.

1,3,7,21,257,771,1799,5397

Factors of 5141

List of positive integer factors of 5141 that divides 5141 without a remainder.

1,53,97,5141

Greatest Common Factor

We found the factors 5397,5141 . The biggest common factor number is the GCF number.
So the greatest common factor 5397,5141 is 1.

Lets's calculate LCM of 896,880

2 896, 880
2 448, 440
2 224, 220
2 112, 110
56, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 56 x 55 = 49280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49280

Therefore, the GCF of Fractions 5397/896,5141/880 is 1/49280

Least Common Multiple of 896,880 with GCF Formula

Least Common Multiple of 896,880 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 896,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,880) = 16

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

GCF(896,880) x common factors =16 x 1 = 16

LCM(896,880) = ( 896 × 880 ) / 16

LCM(896,880) = 788480 / 16

LCM(896,880) = 49280


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 5397/896, 5141/880

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 5397/896, 5141/880?

Answer: GCF of Numerators as per given numbers 5397/896, 5141/880 is

GCF of Numerators i.e. for 5397,5141 is 1

LCM of denominators i.e. for 896,880 is 49280.

Thus, GCF of Fractions is 1/49280.Finally, GCF of Fractions for 5397/896, 5141/880 is 1/49280.