Greatest Common Factor of 65/30, 51/96, 157/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/30, 51/96, 157/600

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 65/30,51/96,157/600

Given fractions are 65/30,51/96,157/600

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 65,51,157

Greatest Common Factor of Numerators i.e. GCF of 65,51,157 is 1 .

LCM of Denominators means LCM of 30,96,600 as per the given fractions.

LCM of 30,96,600 is 2400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,51,157

GCF of Fractions 65/30,51/96,157/600 is 1/2400

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

Greatest Common Factor of 65,51,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,51,157 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 65,51,157 . The biggest common factor number is the GCF number.
So the greatest common factor 65,51,157 is 1.

Lets's calculate LCM of 30,96,600

2 30, 96, 600
2 15, 48, 300
2 15, 24, 150
3 15, 12, 75
5 5, 4, 25
1, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 4 x 5 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2400

Therefore, the GCF of Fractions 65/30,51/96,157/600 is 1/2400

Least Common Multiple of 30,96,600 with GCF Formula

Least Common Multiple of 30,96,600 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 30,96,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,600) = 6

common factors(in case of two or more numbers have common factors) = 120

GCF(30,96,600) x common factors =6 x 120 = 720

LCM(30,96,600) = ( 30 × 96 × 600 ) / 720

LCM(30,96,600) = 1728000 / 720

LCM(30,96,600) = 2400


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 65/30, 51/96, 157/600

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 65/30, 51/96, 157/600?

Answer: GCF of Numerators as per given numbers 65/30, 51/96, 157/600 is

GCF of Numerators i.e. for 65,51,157 is 1

LCM of denominators i.e. for 30,96,600 is 2400.

Thus, GCF of Fractions is 1/2400.Finally, GCF of Fractions for 65/30, 51/96, 157/600 is 1/2400.