Greatest Common Factor of 3211/76, 9716/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3211/76, 9716/144

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 3211/76,9716/144

Given fractions are 3211/76,9716/144

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 3211,9716

Greatest Common Factor of Numerators i.e. GCF of 3211,9716 is 1 .

LCM of Denominators means LCM of 76,144 as per the given fractions.

LCM of 76,144 is 2736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3211,9716

GCF of Fractions 3211/76,9716/144 is 1/2736

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

Greatest Common Factor of 3211,9716 By Matching Biggest Common Factor Method

Greatest Common Factor of 3211,9716 By Matching Biggest Common Factor Method

Factors of 3211

List of positive integer factors of 3211 that divides 3211 without a remainder.

1,13,19,169,247,3211

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors 3211,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,9716 is 1.

Lets's calculate LCM of 76,144

2 76, 144
2 38, 72
19, 36

∴ So the LCM of the given numbers is 2 x 2 x 19 x 36 = 2736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2736

Therefore, the GCF of Fractions 3211/76,9716/144 is 1/2736

Least Common Multiple of 76,144 with GCF Formula

Least Common Multiple of 76,144 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 76,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,144) = 4

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

GCF(76,144) x common factors =4 x 1 = 4

LCM(76,144) = ( 76 × 144 ) / 4

LCM(76,144) = 10944 / 4

LCM(76,144) = 2736


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 3211/76, 9716/144

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 3211/76, 9716/144?

Answer: GCF of Numerators as per given numbers 3211/76, 9716/144 is

GCF of Numerators i.e. for 3211,9716 is 1

LCM of denominators i.e. for 76,144 is 2736.

Thus, GCF of Fractions is 1/2736.Finally, GCF of Fractions for 3211/76, 9716/144 is 1/2736.