Greatest Common Factor of 780/26, 837/33, 607/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/26, 837/33, 607/626

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 780/26,837/33,607/626

Given fractions are 780/26,837/33,607/626

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 780,837,607

Greatest Common Factor of Numerators i.e. GCF of 780,837,607 is 1 .

LCM of Denominators means LCM of 26,33,626 as per the given fractions.

LCM of 26,33,626 is 268554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,837,607

GCF of Fractions 780/26,837/33,607/626 is 1/268554

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

Greatest Common Factor of 780,837,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,837,607 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 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 780,837,607 . The biggest common factor number is the GCF number.
So the greatest common factor 780,837,607 is 1.

Lets's calculate LCM of 26,33,626

2 26, 33, 626
13, 33, 313

∴ So the LCM of the given numbers is 2 x 13 x 33 x 313 = 268554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268554

Therefore, the GCF of Fractions 780/26,837/33,607/626 is 1/268554

Least Common Multiple of 26,33,626 with GCF Formula

Least Common Multiple of 26,33,626 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 26,33,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,33,626) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,33,626) x common factors =1 x 2 = 2

LCM(26,33,626) = ( 26 × 33 × 626 ) / 2

LCM(26,33,626) = 537108 / 2

LCM(26,33,626) = 268554


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 780/26, 837/33, 607/626

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 780/26, 837/33, 607/626?

Answer: GCF of Numerators as per given numbers 780/26, 837/33, 607/626 is

GCF of Numerators i.e. for 780,837,607 is 1

LCM of denominators i.e. for 26,33,626 is 268554.

Thus, GCF of Fractions is 1/268554.Finally, GCF of Fractions for 780/26, 837/33, 607/626 is 1/268554.