Greatest Common Factor of 865/35, 598/72, 771/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/35, 598/72, 771/99

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 865/35,598/72,771/99

Given fractions are 865/35,598/72,771/99

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 865,598,771

Greatest Common Factor of Numerators i.e. GCF of 865,598,771 is 1 .

LCM of Denominators means LCM of 35,72,99 as per the given fractions.

LCM of 35,72,99 is 27720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,598,771

GCF of Fractions 865/35,598/72,771/99 is 1/27720

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

Greatest Common Factor of 865,598,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,598,771 By Matching Biggest Common Factor Method

Factors of 865

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

1,5,173,865

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 865,598,771 . The biggest common factor number is the GCF number.
So the greatest common factor 865,598,771 is 1.

Lets's calculate LCM of 35,72,99

3 35, 72, 99
3 35, 24, 33
35, 8, 11

∴ So the LCM of the given numbers is 3 x 3 x 35 x 8 x 11 = 27720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720

Therefore, the GCF of Fractions 865/35,598/72,771/99 is 1/27720

Least Common Multiple of 35,72,99 with GCF Formula

Least Common Multiple of 35,72,99 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 35,72,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,72,99) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(35,72,99) x common factors =1 x 9 = 9

LCM(35,72,99) = ( 35 × 72 × 99 ) / 9

LCM(35,72,99) = 249480 / 9

LCM(35,72,99) = 27720


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 865/35, 598/72, 771/99

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 865/35, 598/72, 771/99?

Answer: GCF of Numerators as per given numbers 865/35, 598/72, 771/99 is

GCF of Numerators i.e. for 865,598,771 is 1

LCM of denominators i.e. for 35,72,99 is 27720.

Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 865/35, 598/72, 771/99 is 1/27720.