Greatest Common Factor of 858/396, 3900/1427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/396, 3900/1427

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 858/396,3900/1427

Given fractions are 858/396,3900/1427

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 858,3900

Greatest Common Factor of Numerators i.e. GCF of 858,3900 is 78 .

LCM of Denominators means LCM of 396,1427 as per the given fractions.

LCM of 396,1427 is 565092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,3900

GCF of Fractions 858/396,3900/1427 is 78/565092

2 858, 3900
3 429, 1950
13 143, 650
11, 50

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Greatest Common Factor of 858,3900 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,3900 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 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Greatest Common Factor

We found the factors 858,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 858,3900 is 78.

Lets's calculate LCM of 396,1427

Given numbers has no common factors except 1. So, there LCM is their product i.e 565092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/565092

Therefore, the GCF of Fractions 858/396,3900/1427 is 78/565092

Least Common Multiple of 396,1427 with GCF Formula

Least Common Multiple of 396,1427 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 396,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,1427) = 1

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

GCF(396,1427) x common factors =1 x 1 = 1

LCM(396,1427) = ( 396 × 1427 ) / 1

LCM(396,1427) = 565092 / 1

LCM(396,1427) = 565092


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 858/396, 3900/1427

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 858/396, 3900/1427?

Answer: GCF of Numerators as per given numbers 858/396, 3900/1427 is

GCF of Numerators i.e. for 858,3900 is 78

LCM of denominators i.e. for 396,1427 is 565092.

Thus, GCF of Fractions is 78/565092.Finally, GCF of Fractions for 858/396, 3900/1427 is 78/565092.