Greatest Common Factor of 80/651, 786/998, 617/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/651, 786/998, 617/392

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 80/651,786/998,617/392

Given fractions are 80/651,786/998,617/392

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 80,786,617

Greatest Common Factor of Numerators i.e. GCF of 80,786,617 is 1 .

LCM of Denominators means LCM of 651,998,392 as per the given fractions.

LCM of 651,998,392 is 18191544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,786,617

GCF of Fractions 80/651,786/998,617/392 is 1/18191544

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

Greatest Common Factor of 80,786,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,786,617 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 80,786,617 . The biggest common factor number is the GCF number.
So the greatest common factor 80,786,617 is 1.

Lets's calculate LCM of 651,998,392

2 651, 998, 392
7 651, 499, 196
93, 499, 28

∴ So the LCM of the given numbers is 2 x 7 x 93 x 499 x 28 = 18191544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18191544

Therefore, the GCF of Fractions 80/651,786/998,617/392 is 1/18191544

Least Common Multiple of 651,998,392 with GCF Formula

Least Common Multiple of 651,998,392 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 651,998,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,998,392) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(651,998,392) x common factors =1 x 14 = 14

LCM(651,998,392) = ( 651 × 998 × 392 ) / 14

LCM(651,998,392) = 254681616 / 14

LCM(651,998,392) = 18191544


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 80/651, 786/998, 617/392

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 80/651, 786/998, 617/392?

Answer: GCF of Numerators as per given numbers 80/651, 786/998, 617/392 is

GCF of Numerators i.e. for 80,786,617 is 1

LCM of denominators i.e. for 651,998,392 is 18191544.

Thus, GCF of Fractions is 1/18191544.Finally, GCF of Fractions for 80/651, 786/998, 617/392 is 1/18191544.