Greatest Common Factor of 3747/76, 1859/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3747/76, 1859/387

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 3747/76,1859/387

Given fractions are 3747/76,1859/387

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 3747,1859

Greatest Common Factor of Numerators i.e. GCF of 3747,1859 is 1 .

LCM of Denominators means LCM of 76,387 as per the given fractions.

LCM of 76,387 is 29412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3747,1859

GCF of Fractions 3747/76,1859/387 is 1/29412

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

Greatest Common Factor of 3747,1859 By Matching Biggest Common Factor Method

Greatest Common Factor of 3747,1859 By Matching Biggest Common Factor Method

Factors of 3747

List of positive integer factors of 3747 that divides 3747 without a remainder.

1,3,1249,3747

Factors of 1859

List of positive integer factors of 1859 that divides 1859 without a remainder.

1,11,13,143,169,1859

Greatest Common Factor

We found the factors 3747,1859 . The biggest common factor number is the GCF number.
So the greatest common factor 3747,1859 is 1.

Lets's calculate LCM of 76,387

Given numbers has no common factors except 1. So, there LCM is their product i.e 29412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29412

Therefore, the GCF of Fractions 3747/76,1859/387 is 1/29412

Least Common Multiple of 76,387 with GCF Formula

Least Common Multiple of 76,387 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 76,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,387) = 1

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

GCF(76,387) x common factors =1 x 1 = 1

LCM(76,387) = ( 76 × 387 ) / 1

LCM(76,387) = 29412 / 1

LCM(76,387) = 29412


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 3747/76, 1859/387

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 3747/76, 1859/387?

Answer: GCF of Numerators as per given numbers 3747/76, 1859/387 is

GCF of Numerators i.e. for 3747,1859 is 1

LCM of denominators i.e. for 76,387 is 29412.

Thus, GCF of Fractions is 1/29412.Finally, GCF of Fractions for 3747/76, 1859/387 is 1/29412.