Greatest Common Factor of 302/5970, 978/8617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/5970, 978/8617

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 302/5970,978/8617

Given fractions are 302/5970,978/8617

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 302,978

Greatest Common Factor of Numerators i.e. GCF of 302,978 is 2 .

LCM of Denominators means LCM of 5970,8617 as per the given fractions.

LCM of 5970,8617 is 51443490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,978

GCF of Fractions 302/5970,978/8617 is 2/51443490

2 302, 978
151, 489

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 302,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,978 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 302,978 . The biggest common factor number is the GCF number.
So the greatest common factor 302,978 is 2.

Lets's calculate LCM of 5970,8617

Given numbers has no common factors except 1. So, there LCM is their product i.e 51443490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51443490

Therefore, the GCF of Fractions 302/5970,978/8617 is 2/51443490

Least Common Multiple of 5970,8617 with GCF Formula

Least Common Multiple of 5970,8617 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 5970,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5970,8617) = 1

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

GCF(5970,8617) x common factors =1 x 1 = 1

LCM(5970,8617) = ( 5970 × 8617 ) / 1

LCM(5970,8617) = 51443490 / 1

LCM(5970,8617) = 51443490


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 302/5970, 978/8617

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 302/5970, 978/8617?

Answer: GCF of Numerators as per given numbers 302/5970, 978/8617 is

GCF of Numerators i.e. for 302,978 is 2

LCM of denominators i.e. for 5970,8617 is 51443490.

Thus, GCF of Fractions is 2/51443490.Finally, GCF of Fractions for 302/5970, 978/8617 is 2/51443490.