Greatest Common Factor of 862/265, 261/611, 595/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/265, 261/611, 595/825

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 862/265,261/611,595/825

Given fractions are 862/265,261/611,595/825

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 862,261,595

Greatest Common Factor of Numerators i.e. GCF of 862,261,595 is 1 .

LCM of Denominators means LCM of 265,611,825 as per the given fractions.

LCM of 265,611,825 is 26715975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,261,595

GCF of Fractions 862/265,261/611,595/825 is 1/26715975

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

Greatest Common Factor of 862,261,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,261,595 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 862,261,595 . The biggest common factor number is the GCF number.
So the greatest common factor 862,261,595 is 1.

Lets's calculate LCM of 265,611,825

5 265, 611, 825
53, 611, 165

∴ So the LCM of the given numbers is 5 x 53 x 611 x 165 = 26715975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26715975

Therefore, the GCF of Fractions 862/265,261/611,595/825 is 1/26715975

Least Common Multiple of 265,611,825 with GCF Formula

Least Common Multiple of 265,611,825 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 265,611,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,611,825) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(265,611,825) x common factors =1 x 5 = 5

LCM(265,611,825) = ( 265 × 611 × 825 ) / 5

LCM(265,611,825) = 133579875 / 5

LCM(265,611,825) = 26715975


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 862/265, 261/611, 595/825

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 862/265, 261/611, 595/825?

Answer: GCF of Numerators as per given numbers 862/265, 261/611, 595/825 is

GCF of Numerators i.e. for 862,261,595 is 1

LCM of denominators i.e. for 265,611,825 is 26715975.

Thus, GCF of Fractions is 1/26715975.Finally, GCF of Fractions for 862/265, 261/611, 595/825 is 1/26715975.