Greatest Common Factor of 39/851, 867/863, 357/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/851, 867/863, 357/464

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 39/851,867/863,357/464

Given fractions are 39/851,867/863,357/464

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 39,867,357

Greatest Common Factor of Numerators i.e. GCF of 39,867,357 is 3 .

LCM of Denominators means LCM of 851,863,464 as per the given fractions.

LCM of 851,863,464 is 340767632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,867,357

GCF of Fractions 39/851,867/863,357/464 is 3/340767632

3 39, 867, 357
13, 289, 119

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,867,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,867,357 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 39,867,357 . The biggest common factor number is the GCF number.
So the greatest common factor 39,867,357 is 3.

Lets's calculate LCM of 851,863,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 340767632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/340767632

Therefore, the GCF of Fractions 39/851,867/863,357/464 is 3/340767632

Least Common Multiple of 851,863,464 with GCF Formula

Least Common Multiple of 851,863,464 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 851,863,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,863,464) = 1

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

GCF(851,863,464) x common factors =1 x 1 = 1

LCM(851,863,464) = ( 851 × 863 × 464 ) / 1

LCM(851,863,464) = 340767632 / 1

LCM(851,863,464) = 340767632


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 39/851, 867/863, 357/464

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 39/851, 867/863, 357/464?

Answer: GCF of Numerators as per given numbers 39/851, 867/863, 357/464 is

GCF of Numerators i.e. for 39,867,357 is 3

LCM of denominators i.e. for 851,863,464 is 340767632.

Thus, GCF of Fractions is 3/340767632.Finally, GCF of Fractions for 39/851, 867/863, 357/464 is 3/340767632.