Greatest Common Factor of 233/31, 194/67, 977/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/31, 194/67, 977/815

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 233/31,194/67,977/815

Given fractions are 233/31,194/67,977/815

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 233,194,977

Greatest Common Factor of Numerators i.e. GCF of 233,194,977 is 1 .

LCM of Denominators means LCM of 31,67,815 as per the given fractions.

LCM of 31,67,815 is 1692755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,194,977

GCF of Fractions 233/31,194/67,977/815 is 1/1692755

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

Greatest Common Factor of 233,194,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,194,977 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 233,194,977 . The biggest common factor number is the GCF number.
So the greatest common factor 233,194,977 is 1.

Lets's calculate LCM of 31,67,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 1692755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1692755

Therefore, the GCF of Fractions 233/31,194/67,977/815 is 1/1692755

Least Common Multiple of 31,67,815 with GCF Formula

Least Common Multiple of 31,67,815 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 31,67,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,67,815) = 1

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

GCF(31,67,815) x common factors =1 x 1 = 1

LCM(31,67,815) = ( 31 × 67 × 815 ) / 1

LCM(31,67,815) = 1692755 / 1

LCM(31,67,815) = 1692755


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 233/31, 194/67, 977/815

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 233/31, 194/67, 977/815?

Answer: GCF of Numerators as per given numbers 233/31, 194/67, 977/815 is

GCF of Numerators i.e. for 233,194,977 is 1

LCM of denominators i.e. for 31,67,815 is 1692755.

Thus, GCF of Fractions is 1/1692755.Finally, GCF of Fractions for 233/31, 194/67, 977/815 is 1/1692755.