Greatest Common Factor of 2/60, 65/51, 96/738, 127/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/60, 65/51, 96/738, 127/255

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 2/60,65/51,96/738,127/255

Given fractions are 2/60,65/51,96/738,127/255

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 2,65,96,127

Greatest Common Factor of Numerators i.e. GCF of 2,65,96,127 is 1 .

LCM of Denominators means LCM of 60,51,738,255 as per the given fractions.

LCM of 60,51,738,255 is 125460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,65,96,127

GCF of Fractions 2/60,65/51,96/738,127/255 is 1/125460

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

Greatest Common Factor of 2,65,96,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,65,96,127 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 65

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

1,5,13,65

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 2,65,96,127 . The biggest common factor number is the GCF number.
So the greatest common factor 2,65,96,127 is 1.

Lets's calculate LCM of 60,51,738,255

2 60, 51, 738, 255
3 30, 51, 369, 255
5 10, 17, 123, 85
17 2, 17, 123, 17
2, 1, 123, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 2 x 1 x 123 x 1 = 125460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125460

Therefore, the GCF of Fractions 2/60,65/51,96/738,127/255 is 1/125460

Least Common Multiple of 60,51,738,255 with GCF Formula

Least Common Multiple of 60,51,738,255 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 60,51,738,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,51,738,255) = 3

common factors(in case of two or more numbers have common factors) = 1530

GCF(60,51,738,255) x common factors =3 x 1530 = 4590

LCM(60,51,738,255) = ( 60 × 51 × 738 × 255 ) / 4590

LCM(60,51,738,255) = 575861400 / 4590

LCM(60,51,738,255) = 125460


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 2/60, 65/51, 96/738, 127/255

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 2/60, 65/51, 96/738, 127/255?

Answer: GCF of Numerators as per given numbers 2/60, 65/51, 96/738, 127/255 is

GCF of Numerators i.e. for 2,65,96,127 is 1

LCM of denominators i.e. for 60,51,738,255 is 125460.

Thus, GCF of Fractions is 1/125460.Finally, GCF of Fractions for 2/60, 65/51, 96/738, 127/255 is 1/125460.