Greatest Common Factor of 99/390, 137/740, 132/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/390, 137/740, 132/814

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 99/390,137/740,132/814

Given fractions are 99/390,137/740,132/814

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 99,137,132

Greatest Common Factor of Numerators i.e. GCF of 99,137,132 is 1 .

LCM of Denominators means LCM of 390,740,814 as per the given fractions.

LCM of 390,740,814 is 317460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,137,132

GCF of Fractions 99/390,137/740,132/814 is 1/317460

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

Greatest Common Factor of 99,137,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,137,132 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 99,137,132 . The biggest common factor number is the GCF number.
So the greatest common factor 99,137,132 is 1.

Lets's calculate LCM of 390,740,814

2 390, 740, 814
5 195, 370, 407
37 39, 74, 407
39, 2, 11

∴ So the LCM of the given numbers is 2 x 5 x 37 x 39 x 2 x 11 = 317460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317460

Therefore, the GCF of Fractions 99/390,137/740,132/814 is 1/317460

Least Common Multiple of 390,740,814 with GCF Formula

Least Common Multiple of 390,740,814 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 390,740,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,740,814) = 2

common factors(in case of two or more numbers have common factors) = 370

GCF(390,740,814) x common factors =2 x 370 = 740

LCM(390,740,814) = ( 390 × 740 × 814 ) / 740

LCM(390,740,814) = 234920400 / 740

LCM(390,740,814) = 317460


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 99/390, 137/740, 132/814

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 99/390, 137/740, 132/814?

Answer: GCF of Numerators as per given numbers 99/390, 137/740, 132/814 is

GCF of Numerators i.e. for 99,137,132 is 1

LCM of denominators i.e. for 390,740,814 is 317460.

Thus, GCF of Fractions is 1/317460.Finally, GCF of Fractions for 99/390, 137/740, 132/814 is 1/317460.