Greatest Common Factor of 187/319, 1117/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/319, 1117/454

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 187/319,1117/454

Given fractions are 187/319,1117/454

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 187,1117

Greatest Common Factor of Numerators i.e. GCF of 187,1117 is 1 .

LCM of Denominators means LCM of 319,454 as per the given fractions.

LCM of 319,454 is 144826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,1117

GCF of Fractions 187/319,1117/454 is 1/144826

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

Greatest Common Factor of 187,1117 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,1117 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Greatest Common Factor

We found the factors 187,1117 . The biggest common factor number is the GCF number.
So the greatest common factor 187,1117 is 1.

Lets's calculate LCM of 319,454

Given numbers has no common factors except 1. So, there LCM is their product i.e 144826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144826

Therefore, the GCF of Fractions 187/319,1117/454 is 1/144826

Least Common Multiple of 319,454 with GCF Formula

Least Common Multiple of 319,454 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 319,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,454) = 1

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

GCF(319,454) x common factors =1 x 1 = 1

LCM(319,454) = ( 319 × 454 ) / 1

LCM(319,454) = 144826 / 1

LCM(319,454) = 144826


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 187/319, 1117/454

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 187/319, 1117/454?

Answer: GCF of Numerators as per given numbers 187/319, 1117/454 is

GCF of Numerators i.e. for 187,1117 is 1

LCM of denominators i.e. for 319,454 is 144826.

Thus, GCF of Fractions is 1/144826.Finally, GCF of Fractions for 187/319, 1117/454 is 1/144826.