Greatest Common Factor of 6163/141, 1749/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6163/141, 1749/354

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 6163/141,1749/354

Given fractions are 6163/141,1749/354

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 6163,1749

Greatest Common Factor of Numerators i.e. GCF of 6163,1749 is 1 .

LCM of Denominators means LCM of 141,354 as per the given fractions.

LCM of 141,354 is 16638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6163,1749

GCF of Fractions 6163/141,1749/354 is 1/16638

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

Greatest Common Factor of 6163,1749 By Matching Biggest Common Factor Method

Greatest Common Factor of 6163,1749 By Matching Biggest Common Factor Method

Factors of 6163

List of positive integer factors of 6163 that divides 6163 without a remainder.

1,6163

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors 6163,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 6163,1749 is 1.

Lets's calculate LCM of 141,354

3 141, 354
47, 118

∴ So the LCM of the given numbers is 3 x 47 x 118 = 16638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16638

Therefore, the GCF of Fractions 6163/141,1749/354 is 1/16638

Least Common Multiple of 141,354 with GCF Formula

Least Common Multiple of 141,354 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 141,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,354) = 3

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

GCF(141,354) x common factors =3 x 1 = 3

LCM(141,354) = ( 141 × 354 ) / 3

LCM(141,354) = 49914 / 3

LCM(141,354) = 16638


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 6163/141, 1749/354

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 6163/141, 1749/354?

Answer: GCF of Numerators as per given numbers 6163/141, 1749/354 is

GCF of Numerators i.e. for 6163,1749 is 1

LCM of denominators i.e. for 141,354 is 16638.

Thus, GCF of Fractions is 1/16638.Finally, GCF of Fractions for 6163/141, 1749/354 is 1/16638.