Greatest Common Factor of 5467/146, 9621/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5467/146, 9621/856

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 5467/146,9621/856

Given fractions are 5467/146,9621/856

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 5467,9621

Greatest Common Factor of Numerators i.e. GCF of 5467,9621 is 1 .

LCM of Denominators means LCM of 146,856 as per the given fractions.

LCM of 146,856 is 62488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5467,9621

GCF of Fractions 5467/146,9621/856 is 1/62488

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

Greatest Common Factor of 5467,9621 By Matching Biggest Common Factor Method

Greatest Common Factor of 5467,9621 By Matching Biggest Common Factor Method

Factors of 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Factors of 9621

List of positive integer factors of 9621 that divides 9621 without a remainder.

1,3,9,1069,3207,9621

Greatest Common Factor

We found the factors 5467,9621 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,9621 is 1.

Lets's calculate LCM of 146,856

2 146, 856
73, 428

∴ So the LCM of the given numbers is 2 x 73 x 428 = 62488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62488

Therefore, the GCF of Fractions 5467/146,9621/856 is 1/62488

Least Common Multiple of 146,856 with GCF Formula

Least Common Multiple of 146,856 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 146,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,856) = 2

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

GCF(146,856) x common factors =2 x 1 = 2

LCM(146,856) = ( 146 × 856 ) / 2

LCM(146,856) = 124976 / 2

LCM(146,856) = 62488


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 5467/146, 9621/856

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 5467/146, 9621/856?

Answer: GCF of Numerators as per given numbers 5467/146, 9621/856 is

GCF of Numerators i.e. for 5467,9621 is 1

LCM of denominators i.e. for 146,856 is 62488.

Thus, GCF of Fractions is 1/62488.Finally, GCF of Fractions for 5467/146, 9621/856 is 1/62488.