Greatest Common Factor of 860/82, 976/91, 209/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/82, 976/91, 209/351

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 860/82,976/91,209/351

Given fractions are 860/82,976/91,209/351

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 860,976,209

Greatest Common Factor of Numerators i.e. GCF of 860,976,209 is 1 .

LCM of Denominators means LCM of 82,91,351 as per the given fractions.

LCM of 82,91,351 is 201474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,976,209

GCF of Fractions 860/82,976/91,209/351 is 1/201474

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

Greatest Common Factor of 860,976,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,976,209 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 860,976,209 . The biggest common factor number is the GCF number.
So the greatest common factor 860,976,209 is 1.

Lets's calculate LCM of 82,91,351

13 82, 91, 351
82, 7, 27

∴ So the LCM of the given numbers is 13 x 82 x 7 x 27 = 201474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201474

Therefore, the GCF of Fractions 860/82,976/91,209/351 is 1/201474

Least Common Multiple of 82,91,351 with GCF Formula

Least Common Multiple of 82,91,351 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 82,91,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,91,351) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(82,91,351) x common factors =1 x 13 = 13

LCM(82,91,351) = ( 82 × 91 × 351 ) / 13

LCM(82,91,351) = 2619162 / 13

LCM(82,91,351) = 201474


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 860/82, 976/91, 209/351

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 860/82, 976/91, 209/351?

Answer: GCF of Numerators as per given numbers 860/82, 976/91, 209/351 is

GCF of Numerators i.e. for 860,976,209 is 1

LCM of denominators i.e. for 82,91,351 is 201474.

Thus, GCF of Fractions is 1/201474.Finally, GCF of Fractions for 860/82, 976/91, 209/351 is 1/201474.