Greatest Common Factor of 887/627, 980/365, 679/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 887/627, 980/365, 679/505

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 887/627,980/365,679/505

Given fractions are 887/627,980/365,679/505

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 887,980,679

Greatest Common Factor of Numerators i.e. GCF of 887,980,679 is 1 .

LCM of Denominators means LCM of 627,365,505 as per the given fractions.

LCM of 627,365,505 is 23114355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 887,980,679

GCF of Fractions 887/627,980/365,679/505 is 1/23114355

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

Greatest Common Factor of 887,980,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,980,679 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 887,980,679 . The biggest common factor number is the GCF number.
So the greatest common factor 887,980,679 is 1.

Lets's calculate LCM of 627,365,505

5 627, 365, 505
627, 73, 101

∴ So the LCM of the given numbers is 5 x 627 x 73 x 101 = 23114355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23114355

Therefore, the GCF of Fractions 887/627,980/365,679/505 is 1/23114355

Least Common Multiple of 627,365,505 with GCF Formula

Least Common Multiple of 627,365,505 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 627,365,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,365,505) = 1

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

GCF(627,365,505) x common factors =1 x 5 = 5

LCM(627,365,505) = ( 627 × 365 × 505 ) / 5

LCM(627,365,505) = 115571775 / 5

LCM(627,365,505) = 23114355


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 887/627, 980/365, 679/505

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 887/627, 980/365, 679/505?

Answer: GCF of Numerators as per given numbers 887/627, 980/365, 679/505 is

GCF of Numerators i.e. for 887,980,679 is 1

LCM of denominators i.e. for 627,365,505 is 23114355.

Thus, GCF of Fractions is 1/23114355.Finally, GCF of Fractions for 887/627, 980/365, 679/505 is 1/23114355.