Greatest Common Factor of 947/972, 410/234, 920/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/972, 410/234, 920/572

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 947/972,410/234,920/572

Given fractions are 947/972,410/234,920/572

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 947,410,920

Greatest Common Factor of Numerators i.e. GCF of 947,410,920 is 1 .

LCM of Denominators means LCM of 972,234,572 as per the given fractions.

LCM of 972,234,572 is 138996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,410,920

GCF of Fractions 947/972,410/234,920/572 is 1/138996

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

Greatest Common Factor of 947,410,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,410,920 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 947,410,920 . The biggest common factor number is the GCF number.
So the greatest common factor 947,410,920 is 1.

Lets's calculate LCM of 972,234,572

2 972, 234, 572
2 486, 117, 286
3 243, 117, 143
3 81, 39, 143
13 27, 13, 143
27, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 27 x 1 x 11 = 138996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138996

Therefore, the GCF of Fractions 947/972,410/234,920/572 is 1/138996

Least Common Multiple of 972,234,572 with GCF Formula

Least Common Multiple of 972,234,572 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 972,234,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,234,572) = 2

common factors(in case of two or more numbers have common factors) = 468

GCF(972,234,572) x common factors =2 x 468 = 936

LCM(972,234,572) = ( 972 × 234 × 572 ) / 936

LCM(972,234,572) = 130100256 / 936

LCM(972,234,572) = 138996


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 947/972, 410/234, 920/572

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 947/972, 410/234, 920/572?

Answer: GCF of Numerators as per given numbers 947/972, 410/234, 920/572 is

GCF of Numerators i.e. for 947,410,920 is 1

LCM of denominators i.e. for 972,234,572 is 138996.

Thus, GCF of Fractions is 1/138996.Finally, GCF of Fractions for 947/972, 410/234, 920/572 is 1/138996.