Greatest Common Factor of 3829/49, 7570/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3829/49, 7570/393

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 3829/49,7570/393

Given fractions are 3829/49,7570/393

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 3829,7570

Greatest Common Factor of Numerators i.e. GCF of 3829,7570 is 1 .

LCM of Denominators means LCM of 49,393 as per the given fractions.

LCM of 49,393 is 19257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3829,7570

GCF of Fractions 3829/49,7570/393 is 1/19257

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

Greatest Common Factor of 3829,7570 By Matching Biggest Common Factor Method

Greatest Common Factor of 3829,7570 By Matching Biggest Common Factor Method

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1,2,5,10,757,1514,3785,7570

Greatest Common Factor

We found the factors 3829,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 3829,7570 is 1.

Lets's calculate LCM of 49,393

Given numbers has no common factors except 1. So, there LCM is their product i.e 19257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19257

Therefore, the GCF of Fractions 3829/49,7570/393 is 1/19257

Least Common Multiple of 49,393 with GCF Formula

Least Common Multiple of 49,393 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 49,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,393) = 1

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

GCF(49,393) x common factors =1 x 1 = 1

LCM(49,393) = ( 49 × 393 ) / 1

LCM(49,393) = 19257 / 1

LCM(49,393) = 19257


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 3829/49, 7570/393

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 3829/49, 7570/393?

Answer: GCF of Numerators as per given numbers 3829/49, 7570/393 is

GCF of Numerators i.e. for 3829,7570 is 1

LCM of denominators i.e. for 49,393 is 19257.

Thus, GCF of Fractions is 1/19257.Finally, GCF of Fractions for 3829/49, 7570/393 is 1/19257.