Greatest Common Factor of 467/438, 726/224, 323/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/438, 726/224, 323/509

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 467/438,726/224,323/509

Given fractions are 467/438,726/224,323/509

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 467,726,323

Greatest Common Factor of Numerators i.e. GCF of 467,726,323 is 1 .

LCM of Denominators means LCM of 438,224,509 as per the given fractions.

LCM of 438,224,509 is 24969504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,726,323

GCF of Fractions 467/438,726/224,323/509 is 1/24969504

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

Greatest Common Factor of 467,726,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,726,323 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 467,726,323 . The biggest common factor number is the GCF number.
So the greatest common factor 467,726,323 is 1.

Lets's calculate LCM of 438,224,509

2 438, 224, 509
219, 112, 509

∴ So the LCM of the given numbers is 2 x 219 x 112 x 509 = 24969504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24969504

Therefore, the GCF of Fractions 467/438,726/224,323/509 is 1/24969504

Least Common Multiple of 438,224,509 with GCF Formula

Least Common Multiple of 438,224,509 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 438,224,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,224,509) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(438,224,509) x common factors =1 x 2 = 2

LCM(438,224,509) = ( 438 × 224 × 509 ) / 2

LCM(438,224,509) = 49939008 / 2

LCM(438,224,509) = 24969504


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 467/438, 726/224, 323/509

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 467/438, 726/224, 323/509?

Answer: GCF of Numerators as per given numbers 467/438, 726/224, 323/509 is

GCF of Numerators i.e. for 467,726,323 is 1

LCM of denominators i.e. for 438,224,509 is 24969504.

Thus, GCF of Fractions is 1/24969504.Finally, GCF of Fractions for 467/438, 726/224, 323/509 is 1/24969504.