Greatest Common Factor of 809/30, 313/40, 957/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 809/30, 313/40, 957/77

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 809/30,313/40,957/77

Given fractions are 809/30,313/40,957/77

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 809,313,957

Greatest Common Factor of Numerators i.e. GCF of 809,313,957 is 1 .

LCM of Denominators means LCM of 30,40,77 as per the given fractions.

LCM of 30,40,77 is 9240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 809,313,957

GCF of Fractions 809/30,313/40,957/77 is 1/9240

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

Greatest Common Factor of 809,313,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,313,957 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 313

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

1,313

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 809,313,957 . The biggest common factor number is the GCF number.
So the greatest common factor 809,313,957 is 1.

Lets's calculate LCM of 30,40,77

2 30, 40, 77
5 15, 20, 77
3, 4, 77

∴ So the LCM of the given numbers is 2 x 5 x 3 x 4 x 77 = 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 809/30,313/40,957/77 is 1/9240

Least Common Multiple of 30,40,77 with GCF Formula

Least Common Multiple of 30,40,77 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 30,40,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,40,77) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,40,77) x common factors =1 x 10 = 10

LCM(30,40,77) = ( 30 × 40 × 77 ) / 10

LCM(30,40,77) = 92400 / 10

LCM(30,40,77) = 9240


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 809/30, 313/40, 957/77

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 809/30, 313/40, 957/77?

Answer: GCF of Numerators as per given numbers 809/30, 313/40, 957/77 is

GCF of Numerators i.e. for 809,313,957 is 1

LCM of denominators i.e. for 30,40,77 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 809/30, 313/40, 957/77 is 1/9240.