Greatest Common Factor of 3/51, 76/10, 44/732, 954/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/51, 76/10, 44/732, 954/220

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 3/51,76/10,44/732,954/220

Given fractions are 3/51,76/10,44/732,954/220

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 3,76,44,954

Greatest Common Factor of Numerators i.e. GCF of 3,76,44,954 is 1 .

LCM of Denominators means LCM of 51,10,732,220 as per the given fractions.

LCM of 51,10,732,220 is 684420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,76,44,954

GCF of Fractions 3/51,76/10,44/732,954/220 is 1/684420

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

Greatest Common Factor of 3,76,44,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,76,44,954 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 3,76,44,954 . The biggest common factor number is the GCF number.
So the greatest common factor 3,76,44,954 is 1.

Lets's calculate LCM of 51,10,732,220

2 51, 10, 732, 220
2 51, 5, 366, 110
3 51, 5, 183, 55
5 17, 5, 61, 55
17, 1, 61, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 1 x 61 x 11 = 684420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684420

Therefore, the GCF of Fractions 3/51,76/10,44/732,954/220 is 1/684420

Least Common Multiple of 51,10,732,220 with GCF Formula

Least Common Multiple of 51,10,732,220 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 51,10,732,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,10,732,220) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(51,10,732,220) x common factors =1 x 120 = 120

LCM(51,10,732,220) = ( 51 × 10 × 732 × 220 ) / 120

LCM(51,10,732,220) = 82130400 / 120

LCM(51,10,732,220) = 684420


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 3/51, 76/10, 44/732, 954/220

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 3/51, 76/10, 44/732, 954/220?

Answer: GCF of Numerators as per given numbers 3/51, 76/10, 44/732, 954/220 is

GCF of Numerators i.e. for 3,76,44,954 is 1

LCM of denominators i.e. for 51,10,732,220 is 684420.

Thus, GCF of Fractions is 1/684420.Finally, GCF of Fractions for 3/51, 76/10, 44/732, 954/220 is 1/684420.