Greatest Common Factor of 8946/61, 1455/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8946/61, 1455/987

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 8946/61,1455/987

Given fractions are 8946/61,1455/987

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 8946,1455

Greatest Common Factor of Numerators i.e. GCF of 8946,1455 is 3 .

LCM of Denominators means LCM of 61,987 as per the given fractions.

LCM of 61,987 is 60207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8946,1455

GCF of Fractions 8946/61,1455/987 is 3/60207

3 8946, 1455
2982, 485

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8946,1455 By Matching Biggest Common Factor Method

Greatest Common Factor of 8946,1455 By Matching Biggest Common Factor Method

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 8946,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,1455 is 3.

Lets's calculate LCM of 61,987

Given numbers has no common factors except 1. So, there LCM is their product i.e 60207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60207

Therefore, the GCF of Fractions 8946/61,1455/987 is 3/60207

Least Common Multiple of 61,987 with GCF Formula

Least Common Multiple of 61,987 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 61,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,987) = 1

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

GCF(61,987) x common factors =1 x 1 = 1

LCM(61,987) = ( 61 × 987 ) / 1

LCM(61,987) = 60207 / 1

LCM(61,987) = 60207


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 8946/61, 1455/987

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 8946/61, 1455/987?

Answer: GCF of Numerators as per given numbers 8946/61, 1455/987 is

GCF of Numerators i.e. for 8946,1455 is 3

LCM of denominators i.e. for 61,987 is 60207.

Thus, GCF of Fractions is 3/60207.Finally, GCF of Fractions for 8946/61, 1455/987 is 3/60207.