Greatest Common Factor of 232/377, 605/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/377, 605/798

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 232/377,605/798

Given fractions are 232/377,605/798

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 232,605

Greatest Common Factor of Numerators i.e. GCF of 232,605 is 1 .

LCM of Denominators means LCM of 377,798 as per the given fractions.

LCM of 377,798 is 300846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,605

GCF of Fractions 232/377,605/798 is 1/300846

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

Greatest Common Factor of 232,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,605 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 232,605 . The biggest common factor number is the GCF number.
So the greatest common factor 232,605 is 1.

Lets's calculate LCM of 377,798

Given numbers has no common factors except 1. So, there LCM is their product i.e 300846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300846

Therefore, the GCF of Fractions 232/377,605/798 is 1/300846

Least Common Multiple of 377,798 with GCF Formula

Least Common Multiple of 377,798 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 377,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,798) = 1

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

GCF(377,798) x common factors =1 x 1 = 1

LCM(377,798) = ( 377 × 798 ) / 1

LCM(377,798) = 300846 / 1

LCM(377,798) = 300846


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 232/377, 605/798

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 232/377, 605/798?

Answer: GCF of Numerators as per given numbers 232/377, 605/798 is

GCF of Numerators i.e. for 232,605 is 1

LCM of denominators i.e. for 377,798 is 300846.

Thus, GCF of Fractions is 1/300846.Finally, GCF of Fractions for 232/377, 605/798 is 1/300846.