Greatest Common Factor of 17/30, 78/78, 96/83, 47/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/30, 78/78, 96/83, 47/65

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 17/30,78/78,96/83,47/65

Given fractions are 17/30,78/78,96/83,47/65

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 17,78,96,47

Greatest Common Factor of Numerators i.e. GCF of 17,78,96,47 is 1 .

LCM of Denominators means LCM of 30,78,83,65 as per the given fractions.

LCM of 30,78,83,65 is 32370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,78,96,47

GCF of Fractions 17/30,78/78,96/83,47/65 is 1/32370

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

Greatest Common Factor of 17,78,96,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,78,96,47 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 17,78,96,47 . The biggest common factor number is the GCF number.
So the greatest common factor 17,78,96,47 is 1.

Lets's calculate LCM of 30,78,83,65

2 30, 78, 83, 65
3 15, 39, 83, 65
5 5, 13, 83, 65
13 1, 13, 83, 13
1, 1, 83, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 1 x 83 x 1 = 32370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32370

Therefore, the GCF of Fractions 17/30,78/78,96/83,47/65 is 1/32370

Least Common Multiple of 30,78,83,65 with GCF Formula

Least Common Multiple of 30,78,83,65 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 30,78,83,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,78,83,65) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(30,78,83,65) x common factors =1 x 390 = 390

LCM(30,78,83,65) = ( 30 × 78 × 83 × 65 ) / 390

LCM(30,78,83,65) = 12624300 / 390

LCM(30,78,83,65) = 32370


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 17/30, 78/78, 96/83, 47/65

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 17/30, 78/78, 96/83, 47/65?

Answer: GCF of Numerators as per given numbers 17/30, 78/78, 96/83, 47/65 is

GCF of Numerators i.e. for 17,78,96,47 is 1

LCM of denominators i.e. for 30,78,83,65 is 32370.

Thus, GCF of Fractions is 1/32370.Finally, GCF of Fractions for 17/30, 78/78, 96/83, 47/65 is 1/32370.