Greatest Common Factor of 942/51, 676/60, 689/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/51, 676/60, 689/312

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 942/51,676/60,689/312

Given fractions are 942/51,676/60,689/312

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 942,676,689

Greatest Common Factor of Numerators i.e. GCF of 942,676,689 is 1 .

LCM of Denominators means LCM of 51,60,312 as per the given fractions.

LCM of 51,60,312 is 26520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,676,689

GCF of Fractions 942/51,676/60,689/312 is 1/26520

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

Greatest Common Factor of 942,676,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,676,689 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 942,676,689 . The biggest common factor number is the GCF number.
So the greatest common factor 942,676,689 is 1.

Lets's calculate LCM of 51,60,312

2 51, 60, 312
2 51, 30, 156
3 51, 15, 78
17, 5, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 26 = 26520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26520

Therefore, the GCF of Fractions 942/51,676/60,689/312 is 1/26520

Least Common Multiple of 51,60,312 with GCF Formula

Least Common Multiple of 51,60,312 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 51,60,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,60,312) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(51,60,312) x common factors =3 x 12 = 36

LCM(51,60,312) = ( 51 × 60 × 312 ) / 36

LCM(51,60,312) = 954720 / 36

LCM(51,60,312) = 26520


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 942/51, 676/60, 689/312

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 942/51, 676/60, 689/312?

Answer: GCF of Numerators as per given numbers 942/51, 676/60, 689/312 is

GCF of Numerators i.e. for 942,676,689 is 1

LCM of denominators i.e. for 51,60,312 is 26520.

Thus, GCF of Fractions is 1/26520.Finally, GCF of Fractions for 942/51, 676/60, 689/312 is 1/26520.