Greatest Common Factor of 269/730, 790/839, 794/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 269/730, 790/839, 794/631

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 269/730,790/839,794/631

Given fractions are 269/730,790/839,794/631

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 269,790,794

Greatest Common Factor of Numerators i.e. GCF of 269,790,794 is 1 .

LCM of Denominators means LCM of 730,839,631 as per the given fractions.

LCM of 730,839,631 is 386468570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 269,790,794

GCF of Fractions 269/730,790/839,794/631 is 1/386468570

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

Greatest Common Factor of 269,790,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,790,794 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

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 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 269,790,794 . The biggest common factor number is the GCF number.
So the greatest common factor 269,790,794 is 1.

Lets's calculate LCM of 730,839,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 386468570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386468570

Therefore, the GCF of Fractions 269/730,790/839,794/631 is 1/386468570

Least Common Multiple of 730,839,631 with GCF Formula

Least Common Multiple of 730,839,631 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 730,839,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,839,631) = 1

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

GCF(730,839,631) x common factors =1 x 1 = 1

LCM(730,839,631) = ( 730 × 839 × 631 ) / 1

LCM(730,839,631) = 386468570 / 1

LCM(730,839,631) = 386468570


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 269/730, 790/839, 794/631

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 269/730, 790/839, 794/631?

Answer: GCF of Numerators as per given numbers 269/730, 790/839, 794/631 is

GCF of Numerators i.e. for 269,790,794 is 1

LCM of denominators i.e. for 730,839,631 is 386468570.

Thus, GCF of Fractions is 1/386468570.Finally, GCF of Fractions for 269/730, 790/839, 794/631 is 1/386468570.