Greatest Common Factor of 87/146, 1247/6180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/146, 1247/6180

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 87/146,1247/6180

Given fractions are 87/146,1247/6180

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 87,1247

Greatest Common Factor of Numerators i.e. GCF of 87,1247 is 29 .

LCM of Denominators means LCM of 146,6180 as per the given fractions.

LCM of 146,6180 is 451140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,1247

GCF of Fractions 87/146,1247/6180 is 29/451140

29 87, 1247
3, 43

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 87,1247 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,1247 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 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Greatest Common Factor

We found the factors 87,1247 . The biggest common factor number is the GCF number.
So the greatest common factor 87,1247 is 29.

Lets's calculate LCM of 146,6180

2 146, 6180
73, 3090

∴ So the LCM of the given numbers is 2 x 73 x 3090 = 451140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/451140

Therefore, the GCF of Fractions 87/146,1247/6180 is 29/451140

Least Common Multiple of 146,6180 with GCF Formula

Least Common Multiple of 146,6180 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 146,6180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,6180) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(146,6180) x common factors =2 x 1 = 2

LCM(146,6180) = ( 146 × 6180 ) / 2

LCM(146,6180) = 902280 / 2

LCM(146,6180) = 451140


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 87/146, 1247/6180

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 87/146, 1247/6180?

Answer: GCF of Numerators as per given numbers 87/146, 1247/6180 is

GCF of Numerators i.e. for 87,1247 is 29

LCM of denominators i.e. for 146,6180 is 451140.

Thus, GCF of Fractions is 29/451140.Finally, GCF of Fractions for 87/146, 1247/6180 is 29/451140.