Greatest Common Factor of 852/238, 869/668, 925/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/238, 869/668, 925/991

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 852/238,869/668,925/991

Given fractions are 852/238,869/668,925/991

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 852,869,925

Greatest Common Factor of Numerators i.e. GCF of 852,869,925 is 1 .

LCM of Denominators means LCM of 238,668,991 as per the given fractions.

LCM of 238,668,991 is 78776572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,869,925

GCF of Fractions 852/238,869/668,925/991 is 1/78776572

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

Greatest Common Factor of 852,869,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,869,925 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 852,869,925 . The biggest common factor number is the GCF number.
So the greatest common factor 852,869,925 is 1.

Lets's calculate LCM of 238,668,991

2 238, 668, 991
119, 334, 991

∴ So the LCM of the given numbers is 2 x 119 x 334 x 991 = 78776572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78776572

Therefore, the GCF of Fractions 852/238,869/668,925/991 is 1/78776572

Least Common Multiple of 238,668,991 with GCF Formula

Least Common Multiple of 238,668,991 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 238,668,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,668,991) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(238,668,991) x common factors =1 x 2 = 2

LCM(238,668,991) = ( 238 × 668 × 991 ) / 2

LCM(238,668,991) = 157553144 / 2

LCM(238,668,991) = 78776572


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 852/238, 869/668, 925/991

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 852/238, 869/668, 925/991?

Answer: GCF of Numerators as per given numbers 852/238, 869/668, 925/991 is

GCF of Numerators i.e. for 852,869,925 is 1

LCM of denominators i.e. for 238,668,991 is 78776572.

Thus, GCF of Fractions is 1/78776572.Finally, GCF of Fractions for 852/238, 869/668, 925/991 is 1/78776572.