Greatest Common Factor of 84/29, 62/398, 133/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/29, 62/398, 133/264

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 84/29,62/398,133/264

Given fractions are 84/29,62/398,133/264

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 84,62,133

Greatest Common Factor of Numerators i.e. GCF of 84,62,133 is 1 .

LCM of Denominators means LCM of 29,398,264 as per the given fractions.

LCM of 29,398,264 is 1523544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,62,133

GCF of Fractions 84/29,62/398,133/264 is 1/1523544

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

Greatest Common Factor of 84,62,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,62,133 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 84,62,133 . The biggest common factor number is the GCF number.
So the greatest common factor 84,62,133 is 1.

Lets's calculate LCM of 29,398,264

2 29, 398, 264
29, 199, 132

∴ So the LCM of the given numbers is 2 x 29 x 199 x 132 = 1523544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1523544

Therefore, the GCF of Fractions 84/29,62/398,133/264 is 1/1523544

Least Common Multiple of 29,398,264 with GCF Formula

Least Common Multiple of 29,398,264 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 29,398,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,398,264) = 1

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

GCF(29,398,264) x common factors =1 x 2 = 2

LCM(29,398,264) = ( 29 × 398 × 264 ) / 2

LCM(29,398,264) = 3047088 / 2

LCM(29,398,264) = 1523544


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 84/29, 62/398, 133/264

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 84/29, 62/398, 133/264?

Answer: GCF of Numerators as per given numbers 84/29, 62/398, 133/264 is

GCF of Numerators i.e. for 84,62,133 is 1

LCM of denominators i.e. for 29,398,264 is 1523544.

Thus, GCF of Fractions is 1/1523544.Finally, GCF of Fractions for 84/29, 62/398, 133/264 is 1/1523544.