Greatest Common Factor of 5/78, 86/67, 30/516, 966/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/78, 86/67, 30/516, 966/230

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 5/78,86/67,30/516,966/230

Given fractions are 5/78,86/67,30/516,966/230

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 5,86,30,966

Greatest Common Factor of Numerators i.e. GCF of 5,86,30,966 is 1 .

LCM of Denominators means LCM of 78,67,516,230 as per the given fractions.

LCM of 78,67,516,230 is 51685140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,86,30,966

GCF of Fractions 5/78,86/67,30/516,966/230 is 1/51685140

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

Greatest Common Factor of 5,86,30,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,86,30,966 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 5,86,30,966 . The biggest common factor number is the GCF number.
So the greatest common factor 5,86,30,966 is 1.

Lets's calculate LCM of 78,67,516,230

2 78, 67, 516, 230
3 39, 67, 258, 115
13, 67, 86, 115

∴ So the LCM of the given numbers is 2 x 3 x 13 x 67 x 86 x 115 = 51685140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51685140

Therefore, the GCF of Fractions 5/78,86/67,30/516,966/230 is 1/51685140

Least Common Multiple of 78,67,516,230 with GCF Formula

Least Common Multiple of 78,67,516,230 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 78,67,516,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,67,516,230) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(78,67,516,230) x common factors =1 x 12 = 12

LCM(78,67,516,230) = ( 78 × 67 × 516 × 230 ) / 12

LCM(78,67,516,230) = 620221680 / 12

LCM(78,67,516,230) = 51685140


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 5/78, 86/67, 30/516, 966/230

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 5/78, 86/67, 30/516, 966/230?

Answer: GCF of Numerators as per given numbers 5/78, 86/67, 30/516, 966/230 is

GCF of Numerators i.e. for 5,86,30,966 is 1

LCM of denominators i.e. for 78,67,516,230 is 51685140.

Thus, GCF of Fractions is 1/51685140.Finally, GCF of Fractions for 5/78, 86/67, 30/516, 966/230 is 1/51685140.