Greatest Common Factor of 9478/916, 2990/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9478/916, 2990/342

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 9478/916,2990/342

Given fractions are 9478/916,2990/342

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 9478,2990

Greatest Common Factor of Numerators i.e. GCF of 9478,2990 is 2 .

LCM of Denominators means LCM of 916,342 as per the given fractions.

LCM of 916,342 is 156636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9478,2990

GCF of Fractions 9478/916,2990/342 is 2/156636

2 9478, 2990
4739, 1495

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

Greatest Common Factor of 9478,2990 By Matching Biggest Common Factor Method

Greatest Common Factor of 9478,2990 By Matching Biggest Common Factor Method

Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1,2,7,14,677,1354,4739,9478

Factors of 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990

Greatest Common Factor

We found the factors 9478,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 9478,2990 is 2.

Lets's calculate LCM of 916,342

2 916, 342
458, 171

∴ So the LCM of the given numbers is 2 x 458 x 171 = 156636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/156636

Therefore, the GCF of Fractions 9478/916,2990/342 is 2/156636

Least Common Multiple of 916,342 with GCF Formula

Least Common Multiple of 916,342 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 916,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,342) = 2

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

GCF(916,342) x common factors =2 x 1 = 2

LCM(916,342) = ( 916 × 342 ) / 2

LCM(916,342) = 313272 / 2

LCM(916,342) = 156636


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 9478/916, 2990/342

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 9478/916, 2990/342?

Answer: GCF of Numerators as per given numbers 9478/916, 2990/342 is

GCF of Numerators i.e. for 9478,2990 is 2

LCM of denominators i.e. for 916,342 is 156636.

Thus, GCF of Fractions is 2/156636.Finally, GCF of Fractions for 9478/916, 2990/342 is 2/156636.