Greatest Common Factor of 4982/613, 6155/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4982/613, 6155/971

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 4982/613,6155/971

Given fractions are 4982/613,6155/971

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 4982,6155

Greatest Common Factor of Numerators i.e. GCF of 4982,6155 is 1 .

LCM of Denominators means LCM of 613,971 as per the given fractions.

LCM of 613,971 is 595223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4982,6155

GCF of Fractions 4982/613,6155/971 is 1/595223

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

Greatest Common Factor of 4982,6155 By Matching Biggest Common Factor Method

Greatest Common Factor of 4982,6155 By Matching Biggest Common Factor Method

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1,2,47,53,94,106,2491,4982

Factors of 6155

List of positive integer factors of 6155 that divides 6155 without a remainder.

1,5,1231,6155

Greatest Common Factor

We found the factors 4982,6155 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,6155 is 1.

Lets's calculate LCM of 613,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 595223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595223

Therefore, the GCF of Fractions 4982/613,6155/971 is 1/595223

Least Common Multiple of 613,971 with GCF Formula

Least Common Multiple of 613,971 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 613,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,971) = 1

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

GCF(613,971) x common factors =1 x 1 = 1

LCM(613,971) = ( 613 × 971 ) / 1

LCM(613,971) = 595223 / 1

LCM(613,971) = 595223


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 4982/613, 6155/971

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 4982/613, 6155/971?

Answer: GCF of Numerators as per given numbers 4982/613, 6155/971 is

GCF of Numerators i.e. for 4982,6155 is 1

LCM of denominators i.e. for 613,971 is 595223.

Thus, GCF of Fractions is 1/595223.Finally, GCF of Fractions for 4982/613, 6155/971 is 1/595223.