Greatest Common Factor of 780/233, 565/982, 665/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/233, 565/982, 665/671

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 780/233,565/982,665/671

Given fractions are 780/233,565/982,665/671

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 780,565,665

Greatest Common Factor of Numerators i.e. GCF of 780,565,665 is 5 .

LCM of Denominators means LCM of 233,982,671 as per the given fractions.

LCM of 233,982,671 is 153528826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,565,665

GCF of Fractions 780/233,565/982,665/671 is 5/153528826

5 780, 565, 665
156, 113, 133

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 780,565,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,565,665 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 780,565,665 . The biggest common factor number is the GCF number.
So the greatest common factor 780,565,665 is 5.

Lets's calculate LCM of 233,982,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 153528826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/153528826

Therefore, the GCF of Fractions 780/233,565/982,665/671 is 5/153528826

Least Common Multiple of 233,982,671 with GCF Formula

Least Common Multiple of 233,982,671 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 233,982,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,982,671) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(233,982,671) x common factors =1 x 1 = 1

LCM(233,982,671) = ( 233 × 982 × 671 ) / 1

LCM(233,982,671) = 153528826 / 1

LCM(233,982,671) = 153528826


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 780/233, 565/982, 665/671

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 780/233, 565/982, 665/671?

Answer: GCF of Numerators as per given numbers 780/233, 565/982, 665/671 is

GCF of Numerators i.e. for 780,565,665 is 5

LCM of denominators i.e. for 233,982,671 is 153528826.

Thus, GCF of Fractions is 5/153528826.Finally, GCF of Fractions for 780/233, 565/982, 665/671 is 5/153528826.