Greatest Common Factor of 942/814, 8974/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/814, 8974/168

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 942/814,8974/168

Given fractions are 942/814,8974/168

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 942,8974

Greatest Common Factor of Numerators i.e. GCF of 942,8974 is 2 .

LCM of Denominators means LCM of 814,168 as per the given fractions.

LCM of 814,168 is 68376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,8974

GCF of Fractions 942/814,8974/168 is 2/68376

2 942, 8974
471, 4487

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

Greatest Common Factor of 942,8974 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,8974 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 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1,2,7,14,641,1282,4487,8974

Greatest Common Factor

We found the factors 942,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 942,8974 is 2.

Lets's calculate LCM of 814,168

2 814, 168
407, 84

∴ So the LCM of the given numbers is 2 x 407 x 84 = 68376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68376

Therefore, the GCF of Fractions 942/814,8974/168 is 2/68376

Least Common Multiple of 814,168 with GCF Formula

Least Common Multiple of 814,168 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 814,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,168) = 2

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

GCF(814,168) x common factors =2 x 1 = 2

LCM(814,168) = ( 814 × 168 ) / 2

LCM(814,168) = 136752 / 2

LCM(814,168) = 68376


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 942/814, 8974/168

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 942/814, 8974/168?

Answer: GCF of Numerators as per given numbers 942/814, 8974/168 is

GCF of Numerators i.e. for 942,8974 is 2

LCM of denominators i.e. for 814,168 is 68376.

Thus, GCF of Fractions is 2/68376.Finally, GCF of Fractions for 942/814, 8974/168 is 2/68376.