Greatest Common Factor of 8961/46, 5822/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8961/46, 5822/147

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 8961/46,5822/147

Given fractions are 8961/46,5822/147

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 8961,5822

Greatest Common Factor of Numerators i.e. GCF of 8961,5822 is 1 .

LCM of Denominators means LCM of 46,147 as per the given fractions.

LCM of 46,147 is 6762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8961,5822

GCF of Fractions 8961/46,5822/147 is 1/6762

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8961,5822 By Matching Biggest Common Factor Method

Greatest Common Factor of 8961,5822 By Matching Biggest Common Factor Method

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1,3,29,87,103,309,2987,8961

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Greatest Common Factor

We found the factors 8961,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 8961,5822 is 1.

Lets's calculate LCM of 46,147

Given numbers has no common factors except 1. So, there LCM is their product i.e 6762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6762

Therefore, the GCF of Fractions 8961/46,5822/147 is 1/6762

Least Common Multiple of 46,147 with GCF Formula

Least Common Multiple of 46,147 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 46,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,147) = 1

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

GCF(46,147) x common factors =1 x 1 = 1

LCM(46,147) = ( 46 × 147 ) / 1

LCM(46,147) = 6762 / 1

LCM(46,147) = 6762


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 8961/46, 5822/147

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 8961/46, 5822/147?

Answer: GCF of Numerators as per given numbers 8961/46, 5822/147 is

GCF of Numerators i.e. for 8961,5822 is 1

LCM of denominators i.e. for 46,147 is 6762.

Thus, GCF of Fractions is 1/6762.Finally, GCF of Fractions for 8961/46, 5822/147 is 1/6762.