Greatest Common Factor of 9434/158, 7516/4016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9434/158, 7516/4016

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 9434/158,7516/4016

Given fractions are 9434/158,7516/4016

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 9434,7516

Greatest Common Factor of Numerators i.e. GCF of 9434,7516 is 2 .

LCM of Denominators means LCM of 158,4016 as per the given fractions.

LCM of 158,4016 is 317264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9434,7516

GCF of Fractions 9434/158,7516/4016 is 2/317264

2 9434, 7516
4717, 3758

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

Greatest Common Factor of 9434,7516 By Matching Biggest Common Factor Method

Greatest Common Factor of 9434,7516 By Matching Biggest Common Factor Method

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1,2,53,89,106,178,4717,9434

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1,2,4,1879,3758,7516

Greatest Common Factor

We found the factors 9434,7516 . The biggest common factor number is the GCF number.
So the greatest common factor 9434,7516 is 2.

Lets's calculate LCM of 158,4016

2 158, 4016
79, 2008

∴ So the LCM of the given numbers is 2 x 79 x 2008 = 317264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317264

Therefore, the GCF of Fractions 9434/158,7516/4016 is 2/317264

Least Common Multiple of 158,4016 with GCF Formula

Least Common Multiple of 158,4016 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 158,4016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,4016) = 2

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

GCF(158,4016) x common factors =2 x 1 = 2

LCM(158,4016) = ( 158 × 4016 ) / 2

LCM(158,4016) = 634528 / 2

LCM(158,4016) = 317264


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 9434/158, 7516/4016

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 9434/158, 7516/4016?

Answer: GCF of Numerators as per given numbers 9434/158, 7516/4016 is

GCF of Numerators i.e. for 9434,7516 is 2

LCM of denominators i.e. for 158,4016 is 317264.

Thus, GCF of Fractions is 2/317264.Finally, GCF of Fractions for 9434/158, 7516/4016 is 2/317264.