Greatest Common Factor of 13/780, 809/440, 237/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 13/780, 809/440, 237/647

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 13/780,809/440,237/647

Given fractions are 13/780,809/440,237/647

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 13,809,237

Greatest Common Factor of Numerators i.e. GCF of 13,809,237 is 1 .

LCM of Denominators means LCM of 780,440,647 as per the given fractions.

LCM of 780,440,647 is 11102520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,809,237

GCF of Fractions 13/780,809/440,237/647 is 1/11102520

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

Greatest Common Factor of 13,809,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,809,237 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 809

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

1,809

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 13,809,237 . The biggest common factor number is the GCF number.
So the greatest common factor 13,809,237 is 1.


Lets's calculate LCM of 780,440,647

2 780, 440, 647
2 390, 220, 647
5 195, 110, 647
39, 22, 647

∴ So the LCM of the given numbers is 2 x 2 x 5 x 39 x 22 x 647 = 11102520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11102520

Therefore, the GCF of Fractions 13/780,809/440,237/647 is 1/11102520

Least Common Multiple of 780,440,647 with GCF Formula

Least Common Multiple of 780,440,647 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 780,440,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,440,647) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(780,440,647) x common factors =1 x 20 = 20

LCM(780,440,647) = ( 780 × 440 × 647 ) / 20

LCM(780,440,647) = 222050400 / 20

LCM(780,440,647) = 11102520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 13/780, 809/440, 237/647

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 13/780, 809/440, 237/647?

Answer: GCF of Numerators as per given numbers 13/780, 809/440, 237/647 is

GCF of Numerators i.e. for 13,809,237 is 1

LCM of denominators i.e. for 780,440,647 is 11102520.

Thus, GCF of Fractions is 1/11102520.Finally, GCF of Fractions for 13/780, 809/440, 237/647 is 1/11102520.