Greatest Common Factor of 687/29, 885/24, 998/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/29, 885/24, 998/975

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 687/29,885/24,998/975

Given fractions are 687/29,885/24,998/975

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 687,885,998

Greatest Common Factor of Numerators i.e. GCF of 687,885,998 is 1 .

LCM of Denominators means LCM of 29,24,975 as per the given fractions.

LCM of 29,24,975 is 226200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,885,998

GCF of Fractions 687/29,885/24,998/975 is 1/226200

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

Greatest Common Factor of 687,885,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,885,998 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

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 687,885,998 . The biggest common factor number is the GCF number.
So the greatest common factor 687,885,998 is 1.

Lets's calculate LCM of 29,24,975

3 29, 24, 975
29, 8, 325

∴ So the LCM of the given numbers is 3 x 29 x 8 x 325 = 226200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226200

Therefore, the GCF of Fractions 687/29,885/24,998/975 is 1/226200

Least Common Multiple of 29,24,975 with GCF Formula

Least Common Multiple of 29,24,975 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 29,24,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,24,975) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,24,975) x common factors =1 x 3 = 3

LCM(29,24,975) = ( 29 × 24 × 975 ) / 3

LCM(29,24,975) = 678600 / 3

LCM(29,24,975) = 226200


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 687/29, 885/24, 998/975

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 687/29, 885/24, 998/975?

Answer: GCF of Numerators as per given numbers 687/29, 885/24, 998/975 is

GCF of Numerators i.e. for 687,885,998 is 1

LCM of denominators i.e. for 29,24,975 is 226200.

Thus, GCF of Fractions is 1/226200.Finally, GCF of Fractions for 687/29, 885/24, 998/975 is 1/226200.