Greatest Common Factor of 29/84, 48/459, 167/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/84, 48/459, 167/864

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 29/84,48/459,167/864

Given fractions are 29/84,48/459,167/864

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 29,48,167

Greatest Common Factor of Numerators i.e. GCF of 29,48,167 is 1 .

LCM of Denominators means LCM of 84,459,864 as per the given fractions.

LCM of 84,459,864 is 102816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,48,167

GCF of Fractions 29/84,48/459,167/864 is 1/102816

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

Greatest Common Factor of 29,48,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,48,167 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 29,48,167 . The biggest common factor number is the GCF number.
So the greatest common factor 29,48,167 is 1.

Lets's calculate LCM of 84,459,864

2 84, 459, 864
2 42, 459, 432
3 21, 459, 216
3 7, 153, 72
3 7, 51, 24
7, 17, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 7 x 17 x 8 = 102816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102816

Therefore, the GCF of Fractions 29/84,48/459,167/864 is 1/102816

Least Common Multiple of 84,459,864 with GCF Formula

Least Common Multiple of 84,459,864 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 84,459,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,459,864) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(84,459,864) x common factors =3 x 108 = 324

LCM(84,459,864) = ( 84 × 459 × 864 ) / 324

LCM(84,459,864) = 33312384 / 324

LCM(84,459,864) = 102816


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 29/84, 48/459, 167/864

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 29/84, 48/459, 167/864?

Answer: GCF of Numerators as per given numbers 29/84, 48/459, 167/864 is

GCF of Numerators i.e. for 29,48,167 is 1

LCM of denominators i.e. for 84,459,864 is 102816.

Thus, GCF of Fractions is 1/102816.Finally, GCF of Fractions for 29/84, 48/459, 167/864 is 1/102816.