Greatest Common Factor of 4062/38, 1277/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4062/38, 1277/204

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 4062/38,1277/204

Given fractions are 4062/38,1277/204

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 4062,1277

Greatest Common Factor of Numerators i.e. GCF of 4062,1277 is 1 .

LCM of Denominators means LCM of 38,204 as per the given fractions.

LCM of 38,204 is 3876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4062,1277

GCF of Fractions 4062/38,1277/204 is 1/3876

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

Greatest Common Factor of 4062,1277 By Matching Biggest Common Factor Method

Greatest Common Factor of 4062,1277 By Matching Biggest Common Factor Method

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1,2,3,6,677,1354,2031,4062

Factors of 1277

List of positive integer factors of 1277 that divides 1277 without a remainder.

1,1277

Greatest Common Factor

We found the factors 4062,1277 . The biggest common factor number is the GCF number.
So the greatest common factor 4062,1277 is 1.

Lets's calculate LCM of 38,204

2 38, 204
19, 102

∴ So the LCM of the given numbers is 2 x 19 x 102 = 3876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3876

Therefore, the GCF of Fractions 4062/38,1277/204 is 1/3876

Least Common Multiple of 38,204 with GCF Formula

Least Common Multiple of 38,204 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 38,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,204) = 2

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

GCF(38,204) x common factors =2 x 1 = 2

LCM(38,204) = ( 38 × 204 ) / 2

LCM(38,204) = 7752 / 2

LCM(38,204) = 3876


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 4062/38, 1277/204

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 4062/38, 1277/204?

Answer: GCF of Numerators as per given numbers 4062/38, 1277/204 is

GCF of Numerators i.e. for 4062,1277 is 1

LCM of denominators i.e. for 38,204 is 3876.

Thus, GCF of Fractions is 1/3876.Finally, GCF of Fractions for 4062/38, 1277/204 is 1/3876.