Greatest Common Factor of 36/85, 265/82, 332/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/85, 265/82, 332/792

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 36/85,265/82,332/792

Given fractions are 36/85,265/82,332/792

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 36,265,332

Greatest Common Factor of Numerators i.e. GCF of 36,265,332 is 1 .

LCM of Denominators means LCM of 85,82,792 as per the given fractions.

LCM of 85,82,792 is 2760120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,265,332

GCF of Fractions 36/85,265/82,332/792 is 1/2760120

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

Greatest Common Factor of 36,265,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,265,332 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 36,265,332 . The biggest common factor number is the GCF number.
So the greatest common factor 36,265,332 is 1.

Lets's calculate LCM of 85,82,792

2 85, 82, 792
85, 41, 396

∴ So the LCM of the given numbers is 2 x 85 x 41 x 396 = 2760120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760120

Therefore, the GCF of Fractions 36/85,265/82,332/792 is 1/2760120

Least Common Multiple of 85,82,792 with GCF Formula

Least Common Multiple of 85,82,792 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 85,82,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,82,792) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,82,792) x common factors =1 x 2 = 2

LCM(85,82,792) = ( 85 × 82 × 792 ) / 2

LCM(85,82,792) = 5520240 / 2

LCM(85,82,792) = 2760120


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 36/85, 265/82, 332/792

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 36/85, 265/82, 332/792?

Answer: GCF of Numerators as per given numbers 36/85, 265/82, 332/792 is

GCF of Numerators i.e. for 36,265,332 is 1

LCM of denominators i.e. for 85,82,792 is 2760120.

Thus, GCF of Fractions is 1/2760120.Finally, GCF of Fractions for 36/85, 265/82, 332/792 is 1/2760120.