Greatest Common Factor of 940/62, 264/14, 694/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/62, 264/14, 694/187

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 940/62,264/14,694/187

Given fractions are 940/62,264/14,694/187

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 940,264,694

Greatest Common Factor of Numerators i.e. GCF of 940,264,694 is 2 .

LCM of Denominators means LCM of 62,14,187 as per the given fractions.

LCM of 62,14,187 is 81158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,264,694

GCF of Fractions 940/62,264/14,694/187 is 2/81158

2 940, 264, 694
470, 132, 347

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 940,264,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,264,694 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 940,264,694 . The biggest common factor number is the GCF number.
So the greatest common factor 940,264,694 is 2.

Lets's calculate LCM of 62,14,187

2 62, 14, 187
31, 7, 187

∴ So the LCM of the given numbers is 2 x 31 x 7 x 187 = 81158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81158

Therefore, the GCF of Fractions 940/62,264/14,694/187 is 2/81158

Least Common Multiple of 62,14,187 with GCF Formula

Least Common Multiple of 62,14,187 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 62,14,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,14,187) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,14,187) x common factors =1 x 2 = 2

LCM(62,14,187) = ( 62 × 14 × 187 ) / 2

LCM(62,14,187) = 162316 / 2

LCM(62,14,187) = 81158


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 940/62, 264/14, 694/187

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 940/62, 264/14, 694/187?

Answer: GCF of Numerators as per given numbers 940/62, 264/14, 694/187 is

GCF of Numerators i.e. for 940,264,694 is 2

LCM of denominators i.e. for 62,14,187 is 81158.

Thus, GCF of Fractions is 2/81158.Finally, GCF of Fractions for 940/62, 264/14, 694/187 is 2/81158.