Greatest Common Factor of 389/26, 5117/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 389/26, 5117/741

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 389/26,5117/741

Given fractions are 389/26,5117/741

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 389,5117

Greatest Common Factor of Numerators i.e. GCF of 389,5117 is 1 .

LCM of Denominators means LCM of 26,741 as per the given fractions.

LCM of 26,741 is 1482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 389,5117

GCF of Fractions 389/26,5117/741 is 1/1482

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

Greatest Common Factor of 389,5117 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,5117 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Greatest Common Factor

We found the factors 389,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 389,5117 is 1.

Lets's calculate LCM of 26,741

13 26, 741
2, 57

∴ So the LCM of the given numbers is 13 x 2 x 57 = 1482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482

Therefore, the GCF of Fractions 389/26,5117/741 is 1/1482

Least Common Multiple of 26,741 with GCF Formula

Least Common Multiple of 26,741 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 26,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,741) = 13

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

GCF(26,741) x common factors =13 x 1 = 13

LCM(26,741) = ( 26 × 741 ) / 13

LCM(26,741) = 19266 / 13

LCM(26,741) = 1482


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 389/26, 5117/741

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 389/26, 5117/741?

Answer: GCF of Numerators as per given numbers 389/26, 5117/741 is

GCF of Numerators i.e. for 389,5117 is 1

LCM of denominators i.e. for 26,741 is 1482.

Thus, GCF of Fractions is 1/1482.Finally, GCF of Fractions for 389/26, 5117/741 is 1/1482.