Greatest Common Factor of 29/27, 22/141, 468/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/27, 22/141, 468/403

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 29/27,22/141,468/403

Given fractions are 29/27,22/141,468/403

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 29,22,468

Greatest Common Factor of Numerators i.e. GCF of 29,22,468 is 1 .

LCM of Denominators means LCM of 27,141,403 as per the given fractions.

LCM of 27,141,403 is 511407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,22,468

GCF of Fractions 29/27,22/141,468/403 is 1/511407

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

Greatest Common Factor of 29,22,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,22,468 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 29,22,468 . The biggest common factor number is the GCF number.
So the greatest common factor 29,22,468 is 1.

Lets's calculate LCM of 27,141,403

3 27, 141, 403
9, 47, 403

∴ So the LCM of the given numbers is 3 x 9 x 47 x 403 = 511407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511407

Therefore, the GCF of Fractions 29/27,22/141,468/403 is 1/511407

Least Common Multiple of 27,141,403 with GCF Formula

Least Common Multiple of 27,141,403 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 27,141,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,141,403) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,141,403) x common factors =1 x 3 = 3

LCM(27,141,403) = ( 27 × 141 × 403 ) / 3

LCM(27,141,403) = 1534221 / 3

LCM(27,141,403) = 511407


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 29/27, 22/141, 468/403

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 29/27, 22/141, 468/403?

Answer: GCF of Numerators as per given numbers 29/27, 22/141, 468/403 is

GCF of Numerators i.e. for 29,22,468 is 1

LCM of denominators i.e. for 27,141,403 is 511407.

Thus, GCF of Fractions is 1/511407.Finally, GCF of Fractions for 29/27, 22/141, 468/403 is 1/511407.