Greatest Common Factor of 99/659, 53/907, 162/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/659, 53/907, 162/617

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 99/659,53/907,162/617

Given fractions are 99/659,53/907,162/617

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 99,53,162

Greatest Common Factor of Numerators i.e. GCF of 99,53,162 is 1 .

LCM of Denominators means LCM of 659,907,617 as per the given fractions.

LCM of 659,907,617 is 368788921 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,53,162

GCF of Fractions 99/659,53/907,162/617 is 1/368788921

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

Greatest Common Factor of 99,53,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,53,162 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 99,53,162 . The biggest common factor number is the GCF number.
So the greatest common factor 99,53,162 is 1.

Lets's calculate LCM of 659,907,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 368788921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368788921

Therefore, the GCF of Fractions 99/659,53/907,162/617 is 1/368788921

Least Common Multiple of 659,907,617 with GCF Formula

Least Common Multiple of 659,907,617 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 659,907,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,907,617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(659,907,617) x common factors =1 x 1 = 1

LCM(659,907,617) = ( 659 × 907 × 617 ) / 1

LCM(659,907,617) = 368788921 / 1

LCM(659,907,617) = 368788921


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 99/659, 53/907, 162/617

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 99/659, 53/907, 162/617?

Answer: GCF of Numerators as per given numbers 99/659, 53/907, 162/617 is

GCF of Numerators i.e. for 99,53,162 is 1

LCM of denominators i.e. for 659,907,617 is 368788921.

Thus, GCF of Fractions is 1/368788921.Finally, GCF of Fractions for 99/659, 53/907, 162/617 is 1/368788921.