Greatest Common Factor of 754/177, 257/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/177, 257/234

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 754/177,257/234

Given fractions are 754/177,257/234

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 754,257

Greatest Common Factor of Numerators i.e. GCF of 754,257 is 1 .

LCM of Denominators means LCM of 177,234 as per the given fractions.

LCM of 177,234 is 13806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,257

GCF of Fractions 754/177,257/234 is 1/13806

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

Greatest Common Factor of 754,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,257 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 754,257 . The biggest common factor number is the GCF number.
So the greatest common factor 754,257 is 1.

Lets's calculate LCM of 177,234

3 177, 234
59, 78

∴ So the LCM of the given numbers is 3 x 59 x 78 = 13806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13806

Therefore, the GCF of Fractions 754/177,257/234 is 1/13806

Least Common Multiple of 177,234 with GCF Formula

Least Common Multiple of 177,234 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 177,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,234) = 3

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

GCF(177,234) x common factors =3 x 1 = 3

LCM(177,234) = ( 177 × 234 ) / 3

LCM(177,234) = 41418 / 3

LCM(177,234) = 13806


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 754/177, 257/234

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 754/177, 257/234?

Answer: GCF of Numerators as per given numbers 754/177, 257/234 is

GCF of Numerators i.e. for 754,257 is 1

LCM of denominators i.e. for 177,234 is 13806.

Thus, GCF of Fractions is 1/13806.Finally, GCF of Fractions for 754/177, 257/234 is 1/13806.