Greatest Common Factor of 188/65, 152/9717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/65, 152/9717

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 188/65,152/9717

Given fractions are 188/65,152/9717

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 188,152

Greatest Common Factor of Numerators i.e. GCF of 188,152 is 4 .

LCM of Denominators means LCM of 65,9717 as per the given fractions.

LCM of 65,9717 is 631605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,152

GCF of Fractions 188/65,152/9717 is 4/631605

2 188, 152
2 94, 76
47, 38

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 188,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,152 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 188,152 . The biggest common factor number is the GCF number.
So the greatest common factor 188,152 is 4.

Lets's calculate LCM of 65,9717

Given numbers has no common factors except 1. So, there LCM is their product i.e 631605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/631605

Therefore, the GCF of Fractions 188/65,152/9717 is 4/631605

Least Common Multiple of 65,9717 with GCF Formula

Least Common Multiple of 65,9717 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 65,9717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,9717) = 1

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

GCF(65,9717) x common factors =1 x 1 = 1

LCM(65,9717) = ( 65 × 9717 ) / 1

LCM(65,9717) = 631605 / 1

LCM(65,9717) = 631605


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 188/65, 152/9717

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 188/65, 152/9717?

Answer: GCF of Numerators as per given numbers 188/65, 152/9717 is

GCF of Numerators i.e. for 188,152 is 4

LCM of denominators i.e. for 65,9717 is 631605.

Thus, GCF of Fractions is 4/631605.Finally, GCF of Fractions for 188/65, 152/9717 is 4/631605.