Greatest Common Factor of 974/73, 531/62, 462/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/73, 531/62, 462/11

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 974/73,531/62,462/11

Given fractions are 974/73,531/62,462/11

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 974,531,462

Greatest Common Factor of Numerators i.e. GCF of 974,531,462 is 1 .

LCM of Denominators means LCM of 73,62,11 as per the given fractions.

LCM of 73,62,11 is 49786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,531,462

GCF of Fractions 974/73,531/62,462/11 is 1/49786

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

Greatest Common Factor of 974,531,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,531,462 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 974,531,462 . The biggest common factor number is the GCF number.
So the greatest common factor 974,531,462 is 1.

Lets's calculate LCM of 73,62,11

Given numbers has no common factors except 1. So, there LCM is their product i.e 49786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49786

Therefore, the GCF of Fractions 974/73,531/62,462/11 is 1/49786

Least Common Multiple of 73,62,11 with GCF Formula

Least Common Multiple of 73,62,11 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 73,62,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,62,11) = 1

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

GCF(73,62,11) x common factors =1 x 1 = 1

LCM(73,62,11) = ( 73 × 62 × 11 ) / 1

LCM(73,62,11) = 49786 / 1

LCM(73,62,11) = 49786


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 974/73, 531/62, 462/11

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 974/73, 531/62, 462/11?

Answer: GCF of Numerators as per given numbers 974/73, 531/62, 462/11 is

GCF of Numerators i.e. for 974,531,462 is 1

LCM of denominators i.e. for 73,62,11 is 49786.

Thus, GCF of Fractions is 1/49786.Finally, GCF of Fractions for 974/73, 531/62, 462/11 is 1/49786.