Greatest Common Factor of 942/654, 9262/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/654, 9262/758

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 942/654,9262/758

Given fractions are 942/654,9262/758

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 942,9262

Greatest Common Factor of Numerators i.e. GCF of 942,9262 is 2 .

LCM of Denominators means LCM of 654,758 as per the given fractions.

LCM of 654,758 is 247866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,9262

GCF of Fractions 942/654,9262/758 is 2/247866

2 942, 9262
471, 4631

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

Greatest Common Factor of 942,9262 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,9262 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 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1,2,11,22,421,842,4631,9262

Greatest Common Factor

We found the factors 942,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 942,9262 is 2.

Lets's calculate LCM of 654,758

2 654, 758
327, 379

∴ So the LCM of the given numbers is 2 x 327 x 379 = 247866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247866

Therefore, the GCF of Fractions 942/654,9262/758 is 2/247866

Least Common Multiple of 654,758 with GCF Formula

Least Common Multiple of 654,758 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 654,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,758) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(654,758) x common factors =2 x 1 = 2

LCM(654,758) = ( 654 × 758 ) / 2

LCM(654,758) = 495732 / 2

LCM(654,758) = 247866


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 942/654, 9262/758

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 942/654, 9262/758?

Answer: GCF of Numerators as per given numbers 942/654, 9262/758 is

GCF of Numerators i.e. for 942,9262 is 2

LCM of denominators i.e. for 654,758 is 247866.

Thus, GCF of Fractions is 2/247866.Finally, GCF of Fractions for 942/654, 9262/758 is 2/247866.