Greatest Common Factor of 17/20, 51/78, 355/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/20, 51/78, 355/102

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 17/20,51/78,355/102

Given fractions are 17/20,51/78,355/102

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 17,51,355

Greatest Common Factor of Numerators i.e. GCF of 17,51,355 is 1 .

LCM of Denominators means LCM of 20,78,102 as per the given fractions.

LCM of 20,78,102 is 13260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,51,355

GCF of Fractions 17/20,51/78,355/102 is 1/13260

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

Greatest Common Factor of 17,51,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,51,355 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 51

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

1,3,17,51

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 17,51,355 . The biggest common factor number is the GCF number.
So the greatest common factor 17,51,355 is 1.

Lets's calculate LCM of 20,78,102

2 20, 78, 102
3 10, 39, 51
10, 13, 17

∴ So the LCM of the given numbers is 2 x 3 x 10 x 13 x 17 = 13260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13260

Therefore, the GCF of Fractions 17/20,51/78,355/102 is 1/13260

Least Common Multiple of 20,78,102 with GCF Formula

Least Common Multiple of 20,78,102 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 20,78,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,78,102) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(20,78,102) x common factors =2 x 6 = 12

LCM(20,78,102) = ( 20 × 78 × 102 ) / 12

LCM(20,78,102) = 159120 / 12

LCM(20,78,102) = 13260


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 17/20, 51/78, 355/102

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 17/20, 51/78, 355/102?

Answer: GCF of Numerators as per given numbers 17/20, 51/78, 355/102 is

GCF of Numerators i.e. for 17,51,355 is 1

LCM of denominators i.e. for 20,78,102 is 13260.

Thus, GCF of Fractions is 1/13260.Finally, GCF of Fractions for 17/20, 51/78, 355/102 is 1/13260.