Greatest Common Factor of 917/78, 214/20, 998/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 917/78, 214/20, 998/327

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 917/78,214/20,998/327

Given fractions are 917/78,214/20,998/327

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 917,214,998

Greatest Common Factor of Numerators i.e. GCF of 917,214,998 is 1 .

LCM of Denominators means LCM of 78,20,327 as per the given fractions.

LCM of 78,20,327 is 85020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 917,214,998

GCF of Fractions 917/78,214/20,998/327 is 1/85020

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

Greatest Common Factor of 917,214,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,214,998 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 917,214,998 . The biggest common factor number is the GCF number.
So the greatest common factor 917,214,998 is 1.

Lets's calculate LCM of 78,20,327

2 78, 20, 327
3 39, 10, 327
13, 10, 109

∴ So the LCM of the given numbers is 2 x 3 x 13 x 10 x 109 = 85020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85020

Therefore, the GCF of Fractions 917/78,214/20,998/327 is 1/85020

Least Common Multiple of 78,20,327 with GCF Formula

Least Common Multiple of 78,20,327 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 78,20,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,20,327) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,20,327) x common factors =1 x 6 = 6

LCM(78,20,327) = ( 78 × 20 × 327 ) / 6

LCM(78,20,327) = 510120 / 6

LCM(78,20,327) = 85020


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 917/78, 214/20, 998/327

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 917/78, 214/20, 998/327?

Answer: GCF of Numerators as per given numbers 917/78, 214/20, 998/327 is

GCF of Numerators i.e. for 917,214,998 is 1

LCM of denominators i.e. for 78,20,327 is 85020.

Thus, GCF of Fractions is 1/85020.Finally, GCF of Fractions for 917/78, 214/20, 998/327 is 1/85020.