Greatest Common Factor of 790/260, 597/108, 306/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/260, 597/108, 306/830

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 790/260,597/108,306/830

Given fractions are 790/260,597/108,306/830

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 790,597,306

Greatest Common Factor of Numerators i.e. GCF of 790,597,306 is 1 .

LCM of Denominators means LCM of 260,108,830 as per the given fractions.

LCM of 260,108,830 is 582660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,597,306

GCF of Fractions 790/260,597/108,306/830 is 1/582660

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

Greatest Common Factor of 790,597,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,597,306 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 790,597,306 . The biggest common factor number is the GCF number.
So the greatest common factor 790,597,306 is 1.

Lets's calculate LCM of 260,108,830

2 260, 108, 830
2 130, 54, 415
5 65, 27, 415
13, 27, 83

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 27 x 83 = 582660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582660

Therefore, the GCF of Fractions 790/260,597/108,306/830 is 1/582660

Least Common Multiple of 260,108,830 with GCF Formula

Least Common Multiple of 260,108,830 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 260,108,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,108,830) = 2

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

GCF(260,108,830) x common factors =2 x 20 = 40

LCM(260,108,830) = ( 260 × 108 × 830 ) / 40

LCM(260,108,830) = 23306400 / 40

LCM(260,108,830) = 582660


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 790/260, 597/108, 306/830

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 790/260, 597/108, 306/830?

Answer: GCF of Numerators as per given numbers 790/260, 597/108, 306/830 is

GCF of Numerators i.e. for 790,597,306 is 1

LCM of denominators i.e. for 260,108,830 is 582660.

Thus, GCF of Fractions is 1/582660.Finally, GCF of Fractions for 790/260, 597/108, 306/830 is 1/582660.