Greatest Common Factor of 4974/30, 8758/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4974/30, 8758/491

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 4974/30,8758/491

Given fractions are 4974/30,8758/491

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 4974,8758

Greatest Common Factor of Numerators i.e. GCF of 4974,8758 is 2 .

LCM of Denominators means LCM of 30,491 as per the given fractions.

LCM of 30,491 is 14730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4974,8758

GCF of Fractions 4974/30,8758/491 is 2/14730

2 4974, 8758
2487, 4379

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

Greatest Common Factor of 4974,8758 By Matching Biggest Common Factor Method

Greatest Common Factor of 4974,8758 By Matching Biggest Common Factor Method

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1,2,3,6,829,1658,2487,4974

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1,2,29,58,151,302,4379,8758

Greatest Common Factor

We found the factors 4974,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 4974,8758 is 2.

Lets's calculate LCM of 30,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 14730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14730

Therefore, the GCF of Fractions 4974/30,8758/491 is 2/14730

Least Common Multiple of 30,491 with GCF Formula

Least Common Multiple of 30,491 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 30,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,491) = 1

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

GCF(30,491) x common factors =1 x 1 = 1

LCM(30,491) = ( 30 × 491 ) / 1

LCM(30,491) = 14730 / 1

LCM(30,491) = 14730


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 4974/30, 8758/491

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 4974/30, 8758/491?

Answer: GCF of Numerators as per given numbers 4974/30, 8758/491 is

GCF of Numerators i.e. for 4974,8758 is 2

LCM of denominators i.e. for 30,491 is 14730.

Thus, GCF of Fractions is 2/14730.Finally, GCF of Fractions for 4974/30, 8758/491 is 2/14730.