Greatest Common Factor of 965/77, 429/11, 536/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/77, 429/11, 536/36

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 965/77,429/11,536/36

Given fractions are 965/77,429/11,536/36

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 965,429,536

Greatest Common Factor of Numerators i.e. GCF of 965,429,536 is 1 .

LCM of Denominators means LCM of 77,11,36 as per the given fractions.

LCM of 77,11,36 is 2772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,429,536

GCF of Fractions 965/77,429/11,536/36 is 1/2772

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

Greatest Common Factor of 965,429,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,429,536 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 965,429,536 . The biggest common factor number is the GCF number.
So the greatest common factor 965,429,536 is 1.

Lets's calculate LCM of 77,11,36

11 77, 11, 36
7, 1, 36

∴ So the LCM of the given numbers is 11 x 7 x 1 x 36 = 2772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772

Therefore, the GCF of Fractions 965/77,429/11,536/36 is 1/2772

Least Common Multiple of 77,11,36 with GCF Formula

Least Common Multiple of 77,11,36 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 77,11,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,11,36) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,11,36) x common factors =1 x 11 = 11

LCM(77,11,36) = ( 77 × 11 × 36 ) / 11

LCM(77,11,36) = 30492 / 11

LCM(77,11,36) = 2772


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 965/77, 429/11, 536/36

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 965/77, 429/11, 536/36?

Answer: GCF of Numerators as per given numbers 965/77, 429/11, 536/36 is

GCF of Numerators i.e. for 965,429,536 is 1

LCM of denominators i.e. for 77,11,36 is 2772.

Thus, GCF of Fractions is 1/2772.Finally, GCF of Fractions for 965/77, 429/11, 536/36 is 1/2772.