Greatest Common Factor of 53/274, 98/823, 356/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/274, 98/823, 356/971

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 53/274,98/823,356/971

Given fractions are 53/274,98/823,356/971

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 53,98,356

Greatest Common Factor of Numerators i.e. GCF of 53,98,356 is 1 .

LCM of Denominators means LCM of 274,823,971 as per the given fractions.

LCM of 274,823,971 is 218962442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,98,356

GCF of Fractions 53/274,98/823,356/971 is 1/218962442

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

Greatest Common Factor of 53,98,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,98,356 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 53,98,356 . The biggest common factor number is the GCF number.
So the greatest common factor 53,98,356 is 1.

Lets's calculate LCM of 274,823,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 218962442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218962442

Therefore, the GCF of Fractions 53/274,98/823,356/971 is 1/218962442

Least Common Multiple of 274,823,971 with GCF Formula

Least Common Multiple of 274,823,971 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 274,823,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,823,971) = 1

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

GCF(274,823,971) x common factors =1 x 1 = 1

LCM(274,823,971) = ( 274 × 823 × 971 ) / 1

LCM(274,823,971) = 218962442 / 1

LCM(274,823,971) = 218962442


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 53/274, 98/823, 356/971

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 53/274, 98/823, 356/971?

Answer: GCF of Numerators as per given numbers 53/274, 98/823, 356/971 is

GCF of Numerators i.e. for 53,98,356 is 1

LCM of denominators i.e. for 274,823,971 is 218962442.

Thus, GCF of Fractions is 1/218962442.Finally, GCF of Fractions for 53/274, 98/823, 356/971 is 1/218962442.