Greatest Common Factor of 939/64, 456/51, 980/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/64, 456/51, 980/632

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 939/64,456/51,980/632

Given fractions are 939/64,456/51,980/632

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 939,456,980

Greatest Common Factor of Numerators i.e. GCF of 939,456,980 is 1 .

LCM of Denominators means LCM of 64,51,632 as per the given fractions.

LCM of 64,51,632 is 257856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,456,980

GCF of Fractions 939/64,456/51,980/632 is 1/257856

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

Greatest Common Factor of 939,456,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,456,980 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 939,456,980 . The biggest common factor number is the GCF number.
So the greatest common factor 939,456,980 is 1.

Lets's calculate LCM of 64,51,632

2 64, 51, 632
2 32, 51, 316
2 16, 51, 158
8, 51, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 51 x 79 = 257856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257856

Therefore, the GCF of Fractions 939/64,456/51,980/632 is 1/257856

Least Common Multiple of 64,51,632 with GCF Formula

Least Common Multiple of 64,51,632 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 64,51,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,51,632) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,51,632) x common factors =1 x 8 = 8

LCM(64,51,632) = ( 64 × 51 × 632 ) / 8

LCM(64,51,632) = 2062848 / 8

LCM(64,51,632) = 257856


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 939/64, 456/51, 980/632

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 939/64, 456/51, 980/632?

Answer: GCF of Numerators as per given numbers 939/64, 456/51, 980/632 is

GCF of Numerators i.e. for 939,456,980 is 1

LCM of denominators i.e. for 64,51,632 is 257856.

Thus, GCF of Fractions is 1/257856.Finally, GCF of Fractions for 939/64, 456/51, 980/632 is 1/257856.