Greatest Common Factor of 3250/521, 4749/3710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3250/521, 4749/3710

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 3250/521,4749/3710

Given fractions are 3250/521,4749/3710

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 3250,4749

Greatest Common Factor of Numerators i.e. GCF of 3250,4749 is 1 .

LCM of Denominators means LCM of 521,3710 as per the given fractions.

LCM of 521,3710 is 1932910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3250,4749

GCF of Fractions 3250/521,4749/3710 is 1/1932910

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

Greatest Common Factor of 3250,4749 By Matching Biggest Common Factor Method

Greatest Common Factor of 3250,4749 By Matching Biggest Common Factor Method

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1,3,1583,4749

Greatest Common Factor

We found the factors 3250,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,4749 is 1.

Lets's calculate LCM of 521,3710

Given numbers has no common factors except 1. So, there LCM is their product i.e 1932910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932910

Therefore, the GCF of Fractions 3250/521,4749/3710 is 1/1932910

Least Common Multiple of 521,3710 with GCF Formula

Least Common Multiple of 521,3710 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 521,3710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,3710) = 1

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

GCF(521,3710) x common factors =1 x 1 = 1

LCM(521,3710) = ( 521 × 3710 ) / 1

LCM(521,3710) = 1932910 / 1

LCM(521,3710) = 1932910


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 3250/521, 4749/3710

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 3250/521, 4749/3710?

Answer: GCF of Numerators as per given numbers 3250/521, 4749/3710 is

GCF of Numerators i.e. for 3250,4749 is 1

LCM of denominators i.e. for 521,3710 is 1932910.

Thus, GCF of Fractions is 1/1932910.Finally, GCF of Fractions for 3250/521, 4749/3710 is 1/1932910.