Greatest Common Factor of 9750/312, 4941/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9750/312, 4941/479

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 9750/312,4941/479

Given fractions are 9750/312,4941/479

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 9750,4941

Greatest Common Factor of Numerators i.e. GCF of 9750,4941 is 3 .

LCM of Denominators means LCM of 312,479 as per the given fractions.

LCM of 312,479 is 149448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9750,4941

GCF of Fractions 9750/312,4941/479 is 3/149448

3 9750, 4941
3250, 1647

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

Greatest Common Factor of 9750,4941 By Matching Biggest Common Factor Method

Greatest Common Factor of 9750,4941 By Matching Biggest Common Factor Method

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Greatest Common Factor

We found the factors 9750,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 9750,4941 is 3.

Lets's calculate LCM of 312,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 149448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149448

Therefore, the GCF of Fractions 9750/312,4941/479 is 3/149448

Least Common Multiple of 312,479 with GCF Formula

Least Common Multiple of 312,479 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 312,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,479) = 1

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

GCF(312,479) x common factors =1 x 1 = 1

LCM(312,479) = ( 312 × 479 ) / 1

LCM(312,479) = 149448 / 1

LCM(312,479) = 149448


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 9750/312, 4941/479

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 9750/312, 4941/479?

Answer: GCF of Numerators as per given numbers 9750/312, 4941/479 is

GCF of Numerators i.e. for 9750,4941 is 3

LCM of denominators i.e. for 312,479 is 149448.

Thus, GCF of Fractions is 3/149448.Finally, GCF of Fractions for 9750/312, 4941/479 is 3/149448.