Greatest Common Factor of 6519/53, 1552/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6519/53, 1552/977

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 6519/53,1552/977

Given fractions are 6519/53,1552/977

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 6519,1552

Greatest Common Factor of Numerators i.e. GCF of 6519,1552 is 1 .

LCM of Denominators means LCM of 53,977 as per the given fractions.

LCM of 53,977 is 51781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6519,1552

GCF of Fractions 6519/53,1552/977 is 1/51781

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

Greatest Common Factor of 6519,1552 By Matching Biggest Common Factor Method

Greatest Common Factor of 6519,1552 By Matching Biggest Common Factor Method

Factors of 6519

List of positive integer factors of 6519 that divides 6519 without a remainder.

1,3,41,53,123,159,2173,6519

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Greatest Common Factor

We found the factors 6519,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 6519,1552 is 1.

Lets's calculate LCM of 53,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 51781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51781

Therefore, the GCF of Fractions 6519/53,1552/977 is 1/51781

Least Common Multiple of 53,977 with GCF Formula

Least Common Multiple of 53,977 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 53,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,977) = 1

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

GCF(53,977) x common factors =1 x 1 = 1

LCM(53,977) = ( 53 × 977 ) / 1

LCM(53,977) = 51781 / 1

LCM(53,977) = 51781


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 6519/53, 1552/977

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 6519/53, 1552/977?

Answer: GCF of Numerators as per given numbers 6519/53, 1552/977 is

GCF of Numerators i.e. for 6519,1552 is 1

LCM of denominators i.e. for 53,977 is 51781.

Thus, GCF of Fractions is 1/51781.Finally, GCF of Fractions for 6519/53, 1552/977 is 1/51781.