Greatest Common Factor of 3913/675, 5395/9382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3913/675, 5395/9382

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 3913/675,5395/9382

Given fractions are 3913/675,5395/9382

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 3913,5395

Greatest Common Factor of Numerators i.e. GCF of 3913,5395 is 13 .

LCM of Denominators means LCM of 675,9382 as per the given fractions.

LCM of 675,9382 is 6332850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3913,5395

GCF of Fractions 3913/675,5395/9382 is 13/6332850

13 3913, 5395
301, 415

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3913,5395 By Matching Biggest Common Factor Method

Greatest Common Factor of 3913,5395 By Matching Biggest Common Factor Method

Factors of 3913

List of positive integer factors of 3913 that divides 3913 without a remainder.

1,7,13,43,91,301,559,3913

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors 3913,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 3913,5395 is 13.

Lets's calculate LCM of 675,9382

Given numbers has no common factors except 1. So, there LCM is their product i.e 6332850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6332850

Therefore, the GCF of Fractions 3913/675,5395/9382 is 13/6332850

Least Common Multiple of 675,9382 with GCF Formula

Least Common Multiple of 675,9382 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 675,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,9382) = 1

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

GCF(675,9382) x common factors =1 x 1 = 1

LCM(675,9382) = ( 675 × 9382 ) / 1

LCM(675,9382) = 6332850 / 1

LCM(675,9382) = 6332850


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 3913/675, 5395/9382

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 3913/675, 5395/9382?

Answer: GCF of Numerators as per given numbers 3913/675, 5395/9382 is

GCF of Numerators i.e. for 3913,5395 is 13

LCM of denominators i.e. for 675,9382 is 6332850.

Thus, GCF of Fractions is 13/6332850.Finally, GCF of Fractions for 3913/675, 5395/9382 is 13/6332850.