Greatest Common Factor of 232/19, 365/91, 577/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/19, 365/91, 577/151

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 232/19,365/91,577/151

Given fractions are 232/19,365/91,577/151

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 232,365,577

Greatest Common Factor of Numerators i.e. GCF of 232,365,577 is 1 .

LCM of Denominators means LCM of 19,91,151 as per the given fractions.

LCM of 19,91,151 is 261079 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,365,577

GCF of Fractions 232/19,365/91,577/151 is 1/261079

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

Greatest Common Factor of 232,365,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,365,577 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 232,365,577 . The biggest common factor number is the GCF number.
So the greatest common factor 232,365,577 is 1.

Lets's calculate LCM of 19,91,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 261079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261079

Therefore, the GCF of Fractions 232/19,365/91,577/151 is 1/261079

Least Common Multiple of 19,91,151 with GCF Formula

Least Common Multiple of 19,91,151 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 19,91,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,91,151) = 1

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

GCF(19,91,151) x common factors =1 x 1 = 1

LCM(19,91,151) = ( 19 × 91 × 151 ) / 1

LCM(19,91,151) = 261079 / 1

LCM(19,91,151) = 261079


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 232/19, 365/91, 577/151

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 232/19, 365/91, 577/151?

Answer: GCF of Numerators as per given numbers 232/19, 365/91, 577/151 is

GCF of Numerators i.e. for 232,365,577 is 1

LCM of denominators i.e. for 19,91,151 is 261079.

Thus, GCF of Fractions is 1/261079.Finally, GCF of Fractions for 232/19, 365/91, 577/151 is 1/261079.