Greatest Common Factor of 858/40, 3172/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/40, 3172/771

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 858/40,3172/771

Given fractions are 858/40,3172/771

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 858,3172

Greatest Common Factor of Numerators i.e. GCF of 858,3172 is 26 .

LCM of Denominators means LCM of 40,771 as per the given fractions.

LCM of 40,771 is 30840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,3172

GCF of Fractions 858/40,3172/771 is 26/30840

2 858, 3172
13 429, 1586
33, 122

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 858,3172 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,3172 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 858,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 858,3172 is 26.

Lets's calculate LCM of 40,771

Given numbers has no common factors except 1. So, there LCM is their product i.e 30840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/30840

Therefore, the GCF of Fractions 858/40,3172/771 is 26/30840

Least Common Multiple of 40,771 with GCF Formula

Least Common Multiple of 40,771 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 40,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,771) = 1

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

GCF(40,771) x common factors =1 x 1 = 1

LCM(40,771) = ( 40 × 771 ) / 1

LCM(40,771) = 30840 / 1

LCM(40,771) = 30840


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 858/40, 3172/771

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 858/40, 3172/771?

Answer: GCF of Numerators as per given numbers 858/40, 3172/771 is

GCF of Numerators i.e. for 858,3172 is 26

LCM of denominators i.e. for 40,771 is 30840.

Thus, GCF of Fractions is 26/30840.Finally, GCF of Fractions for 858/40, 3172/771 is 26/30840.