Greatest Common Factor of 787/30, 651/17, 313/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/30, 651/17, 313/936

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 787/30,651/17,313/936

Given fractions are 787/30,651/17,313/936

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 787,651,313

Greatest Common Factor of Numerators i.e. GCF of 787,651,313 is 1 .

LCM of Denominators means LCM of 30,17,936 as per the given fractions.

LCM of 30,17,936 is 79560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,651,313

GCF of Fractions 787/30,651/17,313/936 is 1/79560

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

Greatest Common Factor of 787,651,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,651,313 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 787,651,313 . The biggest common factor number is the GCF number.
So the greatest common factor 787,651,313 is 1.

Lets's calculate LCM of 30,17,936

2 30, 17, 936
3 15, 17, 468
5, 17, 156

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 156 = 79560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79560

Therefore, the GCF of Fractions 787/30,651/17,313/936 is 1/79560

Least Common Multiple of 30,17,936 with GCF Formula

Least Common Multiple of 30,17,936 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 30,17,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,17,936) = 1

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

GCF(30,17,936) x common factors =1 x 6 = 6

LCM(30,17,936) = ( 30 × 17 × 936 ) / 6

LCM(30,17,936) = 477360 / 6

LCM(30,17,936) = 79560


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 787/30, 651/17, 313/936

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 787/30, 651/17, 313/936?

Answer: GCF of Numerators as per given numbers 787/30, 651/17, 313/936 is

GCF of Numerators i.e. for 787,651,313 is 1

LCM of denominators i.e. for 30,17,936 is 79560.

Thus, GCF of Fractions is 1/79560.Finally, GCF of Fractions for 787/30, 651/17, 313/936 is 1/79560.