Greatest Common Factor of 32/77, 91/85, 865/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/77, 91/85, 865/799

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 32/77,91/85,865/799

Given fractions are 32/77,91/85,865/799

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 32,91,865

Greatest Common Factor of Numerators i.e. GCF of 32,91,865 is 1 .

LCM of Denominators means LCM of 77,85,799 as per the given fractions.

LCM of 77,85,799 is 307615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,91,865

GCF of Fractions 32/77,91/85,865/799 is 1/307615

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

Greatest Common Factor of 32,91,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,91,865 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 32,91,865 . The biggest common factor number is the GCF number.
So the greatest common factor 32,91,865 is 1.

Lets's calculate LCM of 77,85,799

17 77, 85, 799
77, 5, 47

∴ So the LCM of the given numbers is 17 x 77 x 5 x 47 = 307615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307615

Therefore, the GCF of Fractions 32/77,91/85,865/799 is 1/307615

Least Common Multiple of 77,85,799 with GCF Formula

Least Common Multiple of 77,85,799 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 77,85,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,85,799) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(77,85,799) x common factors =1 x 17 = 17

LCM(77,85,799) = ( 77 × 85 × 799 ) / 17

LCM(77,85,799) = 5229455 / 17

LCM(77,85,799) = 307615


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 32/77, 91/85, 865/799

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 32/77, 91/85, 865/799?

Answer: GCF of Numerators as per given numbers 32/77, 91/85, 865/799 is

GCF of Numerators i.e. for 32,91,865 is 1

LCM of denominators i.e. for 77,85,799 is 307615.

Thus, GCF of Fractions is 1/307615.Finally, GCF of Fractions for 32/77, 91/85, 865/799 is 1/307615.