Greatest Common Factor of 962/321, 844/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/321, 844/169

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 962/321,844/169

Given fractions are 962/321,844/169

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 962,844

Greatest Common Factor of Numerators i.e. GCF of 962,844 is 2 .

LCM of Denominators means LCM of 321,169 as per the given fractions.

LCM of 321,169 is 54249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,844

GCF of Fractions 962/321,844/169 is 2/54249

2 962, 844
481, 422

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

Greatest Common Factor of 962,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,844 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 962,844 . The biggest common factor number is the GCF number.
So the greatest common factor 962,844 is 2.

Lets's calculate LCM of 321,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 54249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54249

Therefore, the GCF of Fractions 962/321,844/169 is 2/54249

Least Common Multiple of 321,169 with GCF Formula

Least Common Multiple of 321,169 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 321,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,169) = 1

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

GCF(321,169) x common factors =1 x 1 = 1

LCM(321,169) = ( 321 × 169 ) / 1

LCM(321,169) = 54249 / 1

LCM(321,169) = 54249


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 962/321, 844/169

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 962/321, 844/169?

Answer: GCF of Numerators as per given numbers 962/321, 844/169 is

GCF of Numerators i.e. for 962,844 is 2

LCM of denominators i.e. for 321,169 is 54249.

Thus, GCF of Fractions is 2/54249.Finally, GCF of Fractions for 962/321, 844/169 is 2/54249.