Greatest Common Factor of 3789/47, 3727/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3789/47, 3727/557

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 3789/47,3727/557

Given fractions are 3789/47,3727/557

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 3789,3727

Greatest Common Factor of Numerators i.e. GCF of 3789,3727 is 1 .

LCM of Denominators means LCM of 47,557 as per the given fractions.

LCM of 47,557 is 26179 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3789,3727

GCF of Fractions 3789/47,3727/557 is 1/26179

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

Greatest Common Factor of 3789,3727 By Matching Biggest Common Factor Method

Greatest Common Factor of 3789,3727 By Matching Biggest Common Factor Method

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1,3,9,421,1263,3789

Factors of 3727

List of positive integer factors of 3727 that divides 3727 without a remainder.

1,3727

Greatest Common Factor

We found the factors 3789,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 3789,3727 is 1.

Lets's calculate LCM of 47,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 26179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26179

Therefore, the GCF of Fractions 3789/47,3727/557 is 1/26179

Least Common Multiple of 47,557 with GCF Formula

Least Common Multiple of 47,557 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 47,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,557) = 1

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

GCF(47,557) x common factors =1 x 1 = 1

LCM(47,557) = ( 47 × 557 ) / 1

LCM(47,557) = 26179 / 1

LCM(47,557) = 26179


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 3789/47, 3727/557

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 3789/47, 3727/557?

Answer: GCF of Numerators as per given numbers 3789/47, 3727/557 is

GCF of Numerators i.e. for 3789,3727 is 1

LCM of denominators i.e. for 47,557 is 26179.

Thus, GCF of Fractions is 1/26179.Finally, GCF of Fractions for 3789/47, 3727/557 is 1/26179.