Greatest Common Factor of 236/678, 972/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/678, 972/169

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 236/678,972/169

Given fractions are 236/678,972/169

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 236,972

Greatest Common Factor of Numerators i.e. GCF of 236,972 is 4 .

LCM of Denominators means LCM of 678,169 as per the given fractions.

LCM of 678,169 is 114582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,972

GCF of Fractions 236/678,972/169 is 4/114582

2 236, 972
2 118, 486
59, 243

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 236,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,972 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 236,972 . The biggest common factor number is the GCF number.
So the greatest common factor 236,972 is 4.

Lets's calculate LCM of 678,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 114582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/114582

Therefore, the GCF of Fractions 236/678,972/169 is 4/114582

Least Common Multiple of 678,169 with GCF Formula

Least Common Multiple of 678,169 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 678,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,169) = 1

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

GCF(678,169) x common factors =1 x 1 = 1

LCM(678,169) = ( 678 × 169 ) / 1

LCM(678,169) = 114582 / 1

LCM(678,169) = 114582


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 236/678, 972/169

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 236/678, 972/169?

Answer: GCF of Numerators as per given numbers 236/678, 972/169 is

GCF of Numerators i.e. for 236,972 is 4

LCM of denominators i.e. for 678,169 is 114582.

Thus, GCF of Fractions is 4/114582.Finally, GCF of Fractions for 236/678, 972/169 is 4/114582.