Greatest Common Factor of 3742/238, 6765/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3742/238, 6765/379

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 3742/238,6765/379

Given fractions are 3742/238,6765/379

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 3742,6765

Greatest Common Factor of Numerators i.e. GCF of 3742,6765 is 1 .

LCM of Denominators means LCM of 238,379 as per the given fractions.

LCM of 238,379 is 90202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3742,6765

GCF of Fractions 3742/238,6765/379 is 1/90202

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

Greatest Common Factor of 3742,6765 By Matching Biggest Common Factor Method

Greatest Common Factor of 3742,6765 By Matching Biggest Common Factor Method

Factors of 3742

List of positive integer factors of 3742 that divides 3742 without a remainder.

1,2,1871,3742

Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765

Greatest Common Factor

We found the factors 3742,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,6765 is 1.

Lets's calculate LCM of 238,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 90202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90202

Therefore, the GCF of Fractions 3742/238,6765/379 is 1/90202

Least Common Multiple of 238,379 with GCF Formula

Least Common Multiple of 238,379 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 238,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,379) = 1

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

GCF(238,379) x common factors =1 x 1 = 1

LCM(238,379) = ( 238 × 379 ) / 1

LCM(238,379) = 90202 / 1

LCM(238,379) = 90202


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 3742/238, 6765/379

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 3742/238, 6765/379?

Answer: GCF of Numerators as per given numbers 3742/238, 6765/379 is

GCF of Numerators i.e. for 3742,6765 is 1

LCM of denominators i.e. for 238,379 is 90202.

Thus, GCF of Fractions is 1/90202.Finally, GCF of Fractions for 3742/238, 6765/379 is 1/90202.