Greatest Common Factor of 53/920, 6042/5617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/920, 6042/5617

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 53/920,6042/5617

Given fractions are 53/920,6042/5617

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 53,6042

Greatest Common Factor of Numerators i.e. GCF of 53,6042 is 53 .

LCM of Denominators means LCM of 920,5617 as per the given fractions.

LCM of 920,5617 is 5167640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,6042

GCF of Fractions 53/920,6042/5617 is 53/5167640

53 53, 6042
1, 114

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 53,6042 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,6042 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 53,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6042 is 53.

Lets's calculate LCM of 920,5617

Given numbers has no common factors except 1. So, there LCM is their product i.e 5167640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/5167640

Therefore, the GCF of Fractions 53/920,6042/5617 is 53/5167640

Least Common Multiple of 920,5617 with GCF Formula

Least Common Multiple of 920,5617 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 920,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,5617) = 1

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

GCF(920,5617) x common factors =1 x 1 = 1

LCM(920,5617) = ( 920 × 5617 ) / 1

LCM(920,5617) = 5167640 / 1

LCM(920,5617) = 5167640


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 53/920, 6042/5617

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 53/920, 6042/5617?

Answer: GCF of Numerators as per given numbers 53/920, 6042/5617 is

GCF of Numerators i.e. for 53,6042 is 53

LCM of denominators i.e. for 920,5617 is 5167640.

Thus, GCF of Fractions is 53/5167640.Finally, GCF of Fractions for 53/920, 6042/5617 is 53/5167640.