Greatest Common Factor of 53/947, 342/427, 137/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/947, 342/427, 137/990

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 53/947,342/427,137/990

Given fractions are 53/947,342/427,137/990

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 53,342,137

Greatest Common Factor of Numerators i.e. GCF of 53,342,137 is 1 .

LCM of Denominators means LCM of 947,427,990 as per the given fractions.

LCM of 947,427,990 is 400325310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,342,137

GCF of Fractions 53/947,342/427,137/990 is 1/400325310

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

Greatest Common Factor of 53,342,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,342,137 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 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 53,342,137 . The biggest common factor number is the GCF number.
So the greatest common factor 53,342,137 is 1.

Lets's calculate LCM of 947,427,990

Given numbers has no common factors except 1. So, there LCM is their product i.e 400325310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400325310

Therefore, the GCF of Fractions 53/947,342/427,137/990 is 1/400325310

Least Common Multiple of 947,427,990 with GCF Formula

Least Common Multiple of 947,427,990 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 947,427,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,427,990) = 1

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

GCF(947,427,990) x common factors =1 x 1 = 1

LCM(947,427,990) = ( 947 × 427 × 990 ) / 1

LCM(947,427,990) = 400325310 / 1

LCM(947,427,990) = 400325310


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 53/947, 342/427, 137/990

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 53/947, 342/427, 137/990?

Answer: GCF of Numerators as per given numbers 53/947, 342/427, 137/990 is

GCF of Numerators i.e. for 53,342,137 is 1

LCM of denominators i.e. for 947,427,990 is 400325310.

Thus, GCF of Fractions is 1/400325310.Finally, GCF of Fractions for 53/947, 342/427, 137/990 is 1/400325310.