Greatest Common Factor of 6477/618, 5729/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6477/618, 5729/920

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 6477/618,5729/920

Given fractions are 6477/618,5729/920

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 6477,5729

Greatest Common Factor of Numerators i.e. GCF of 6477,5729 is 17 .

LCM of Denominators means LCM of 618,920 as per the given fractions.

LCM of 618,920 is 284280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6477,5729

GCF of Fractions 6477/618,5729/920 is 17/284280

17 6477, 5729
381, 337

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6477,5729 By Matching Biggest Common Factor Method

Greatest Common Factor of 6477,5729 By Matching Biggest Common Factor Method

Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1,3,17,51,127,381,2159,6477

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors 6477,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 6477,5729 is 17.

Lets's calculate LCM of 618,920

2 618, 920
309, 460

∴ So the LCM of the given numbers is 2 x 309 x 460 = 284280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/284280

Therefore, the GCF of Fractions 6477/618,5729/920 is 17/284280

Least Common Multiple of 618,920 with GCF Formula

Least Common Multiple of 618,920 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 618,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,920) = 2

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

GCF(618,920) x common factors =2 x 1 = 2

LCM(618,920) = ( 618 × 920 ) / 2

LCM(618,920) = 568560 / 2

LCM(618,920) = 284280


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 6477/618, 5729/920

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 6477/618, 5729/920?

Answer: GCF of Numerators as per given numbers 6477/618, 5729/920 is

GCF of Numerators i.e. for 6477,5729 is 17

LCM of denominators i.e. for 618,920 is 284280.

Thus, GCF of Fractions is 17/284280.Finally, GCF of Fractions for 6477/618, 5729/920 is 17/284280.