Greatest Common Factor of 5980/387, 8598/8657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5980/387, 8598/8657

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 5980/387,8598/8657

Given fractions are 5980/387,8598/8657

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 5980,8598

Greatest Common Factor of Numerators i.e. GCF of 5980,8598 is 2 .

LCM of Denominators means LCM of 387,8657 as per the given fractions.

LCM of 387,8657 is 3350259 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5980,8598

GCF of Fractions 5980/387,8598/8657 is 2/3350259

2 5980, 8598
2990, 4299

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

Greatest Common Factor of 5980,8598 By Matching Biggest Common Factor Method

Greatest Common Factor of 5980,8598 By Matching Biggest Common Factor Method

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1,2,3,6,1433,2866,4299,8598

Greatest Common Factor

We found the factors 5980,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,8598 is 2.

Lets's calculate LCM of 387,8657

Given numbers has no common factors except 1. So, there LCM is their product i.e 3350259

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3350259

Therefore, the GCF of Fractions 5980/387,8598/8657 is 2/3350259

Least Common Multiple of 387,8657 with GCF Formula

Least Common Multiple of 387,8657 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 387,8657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,8657) = 1

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

GCF(387,8657) x common factors =1 x 1 = 1

LCM(387,8657) = ( 387 × 8657 ) / 1

LCM(387,8657) = 3350259 / 1

LCM(387,8657) = 3350259


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 5980/387, 8598/8657

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 5980/387, 8598/8657?

Answer: GCF of Numerators as per given numbers 5980/387, 8598/8657 is

GCF of Numerators i.e. for 5980,8598 is 2

LCM of denominators i.e. for 387,8657 is 3350259.

Thus, GCF of Fractions is 2/3350259.Finally, GCF of Fractions for 5980/387, 8598/8657 is 2/3350259.