Greatest Common Factor of 754/469, 466/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/469, 466/231

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 754/469,466/231

Given fractions are 754/469,466/231

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 754,466

Greatest Common Factor of Numerators i.e. GCF of 754,466 is 2 .

LCM of Denominators means LCM of 469,231 as per the given fractions.

LCM of 469,231 is 15477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,466

GCF of Fractions 754/469,466/231 is 2/15477

2 754, 466
377, 233

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 754,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,466 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 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 754,466 . The biggest common factor number is the GCF number.
So the greatest common factor 754,466 is 2.

Lets's calculate LCM of 469,231

7 469, 231
67, 33

∴ So the LCM of the given numbers is 7 x 67 x 33 = 15477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15477

Therefore, the GCF of Fractions 754/469,466/231 is 2/15477

Least Common Multiple of 469,231 with GCF Formula

Least Common Multiple of 469,231 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 469,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,231) = 7

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

GCF(469,231) x common factors =7 x 1 = 7

LCM(469,231) = ( 469 × 231 ) / 7

LCM(469,231) = 108339 / 7

LCM(469,231) = 15477


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 754/469, 466/231

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 754/469, 466/231?

Answer: GCF of Numerators as per given numbers 754/469, 466/231 is

GCF of Numerators i.e. for 754,466 is 2

LCM of denominators i.e. for 469,231 is 15477.

Thus, GCF of Fractions is 2/15477.Finally, GCF of Fractions for 754/469, 466/231 is 2/15477.