Greatest Common Factor of 62/29, 418/62, 816/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/29, 418/62, 816/138

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 62/29,418/62,816/138

Given fractions are 62/29,418/62,816/138

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 62,418,816

Greatest Common Factor of Numerators i.e. GCF of 62,418,816 is 2 .

LCM of Denominators means LCM of 29,62,138 as per the given fractions.

LCM of 29,62,138 is 124062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,418,816

GCF of Fractions 62/29,418/62,816/138 is 2/124062

2 62, 418, 816
31, 209, 408

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

Greatest Common Factor of 62,418,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,418,816 By Matching Biggest Common Factor Method

Factors of 62

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

1,2,31,62

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 62,418,816 . The biggest common factor number is the GCF number.
So the greatest common factor 62,418,816 is 2.

Lets's calculate LCM of 29,62,138

2 29, 62, 138
29, 31, 69

∴ So the LCM of the given numbers is 2 x 29 x 31 x 69 = 124062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124062

Therefore, the GCF of Fractions 62/29,418/62,816/138 is 2/124062

Least Common Multiple of 29,62,138 with GCF Formula

Least Common Multiple of 29,62,138 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 29,62,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,62,138) = 1

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

GCF(29,62,138) x common factors =1 x 2 = 2

LCM(29,62,138) = ( 29 × 62 × 138 ) / 2

LCM(29,62,138) = 248124 / 2

LCM(29,62,138) = 124062


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 62/29, 418/62, 816/138

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 62/29, 418/62, 816/138?

Answer: GCF of Numerators as per given numbers 62/29, 418/62, 816/138 is

GCF of Numerators i.e. for 62,418,816 is 2

LCM of denominators i.e. for 29,62,138 is 124062.

Thus, GCF of Fractions is 2/124062.Finally, GCF of Fractions for 62/29, 418/62, 816/138 is 2/124062.