Greatest Common Factor of 87/241, 146/560, 816/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/241, 146/560, 816/764

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 87/241,146/560,816/764

Given fractions are 87/241,146/560,816/764

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 87,146,816

Greatest Common Factor of Numerators i.e. GCF of 87,146,816 is 1 .

LCM of Denominators means LCM of 241,560,764 as per the given fractions.

LCM of 241,560,764 is 25777360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,146,816

GCF of Fractions 87/241,146/560,816/764 is 1/25777360

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

Greatest Common Factor of 87,146,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,146,816 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 87,146,816 . The biggest common factor number is the GCF number.
So the greatest common factor 87,146,816 is 1.

Lets's calculate LCM of 241,560,764

2 241, 560, 764
2 241, 280, 382
241, 140, 191

∴ So the LCM of the given numbers is 2 x 2 x 241 x 140 x 191 = 25777360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25777360

Therefore, the GCF of Fractions 87/241,146/560,816/764 is 1/25777360

Least Common Multiple of 241,560,764 with GCF Formula

Least Common Multiple of 241,560,764 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 241,560,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,560,764) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(241,560,764) x common factors =1 x 4 = 4

LCM(241,560,764) = ( 241 × 560 × 764 ) / 4

LCM(241,560,764) = 103109440 / 4

LCM(241,560,764) = 25777360


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 87/241, 146/560, 816/764

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 87/241, 146/560, 816/764?

Answer: GCF of Numerators as per given numbers 87/241, 146/560, 816/764 is

GCF of Numerators i.e. for 87,146,816 is 1

LCM of denominators i.e. for 241,560,764 is 25777360.

Thus, GCF of Fractions is 1/25777360.Finally, GCF of Fractions for 87/241, 146/560, 816/764 is 1/25777360.