Greatest Common Factor of 4187/84, 1541/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4187/84, 1541/119

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 4187/84,1541/119

Given fractions are 4187/84,1541/119

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 4187,1541

Greatest Common Factor of Numerators i.e. GCF of 4187,1541 is 1 .

LCM of Denominators means LCM of 84,119 as per the given fractions.

LCM of 84,119 is 1428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4187,1541

GCF of Fractions 4187/84,1541/119 is 1/1428

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

Greatest Common Factor of 4187,1541 By Matching Biggest Common Factor Method

Greatest Common Factor of 4187,1541 By Matching Biggest Common Factor Method

Factors of 4187

List of positive integer factors of 4187 that divides 4187 without a remainder.

1,53,79,4187

Factors of 1541

List of positive integer factors of 1541 that divides 1541 without a remainder.

1,23,67,1541

Greatest Common Factor

We found the factors 4187,1541 . The biggest common factor number is the GCF number.
So the greatest common factor 4187,1541 is 1.

Lets's calculate LCM of 84,119

7 84, 119
12, 17

∴ So the LCM of the given numbers is 7 x 12 x 17 = 1428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428

Therefore, the GCF of Fractions 4187/84,1541/119 is 1/1428

Least Common Multiple of 84,119 with GCF Formula

Least Common Multiple of 84,119 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 84,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,119) = 7

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

GCF(84,119) x common factors =7 x 1 = 7

LCM(84,119) = ( 84 × 119 ) / 7

LCM(84,119) = 9996 / 7

LCM(84,119) = 1428


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 4187/84, 1541/119

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 4187/84, 1541/119?

Answer: GCF of Numerators as per given numbers 4187/84, 1541/119 is

GCF of Numerators i.e. for 4187,1541 is 1

LCM of denominators i.e. for 84,119 is 1428.

Thus, GCF of Fractions is 1/1428.Finally, GCF of Fractions for 4187/84, 1541/119 is 1/1428.