Greatest Common Factor of 818/765, 1292/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/765, 1292/306

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 818/765,1292/306

Given fractions are 818/765,1292/306

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 818,1292

Greatest Common Factor of Numerators i.e. GCF of 818,1292 is 2 .

LCM of Denominators means LCM of 765,306 as per the given fractions.

LCM of 765,306 is 1530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,1292

GCF of Fractions 818/765,1292/306 is 2/1530

2 818, 1292
409, 646

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 818,1292 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,1292 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 1292

List of positive integer factors of 1292 that divides 1292 without a remainder.

1,2,4,17,19,34,38,68,76,323,646,1292

Greatest Common Factor

We found the factors 818,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 818,1292 is 2.

Lets's calculate LCM of 765,306

3 765, 306
3 255, 102
17 85, 34
5, 2

∴ So the LCM of the given numbers is 3 x 3 x 17 x 5 x 2 = 1530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1530

Therefore, the GCF of Fractions 818/765,1292/306 is 2/1530

Least Common Multiple of 765,306 with GCF Formula

Least Common Multiple of 765,306 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 765,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,306) = 153

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

GCF(765,306) x common factors =153 x 1 = 153

LCM(765,306) = ( 765 × 306 ) / 153

LCM(765,306) = 234090 / 153

LCM(765,306) = 1530


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 818/765, 1292/306

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 818/765, 1292/306?

Answer: GCF of Numerators as per given numbers 818/765, 1292/306 is

GCF of Numerators i.e. for 818,1292 is 2

LCM of denominators i.e. for 765,306 is 1530.

Thus, GCF of Fractions is 2/1530.Finally, GCF of Fractions for 818/765, 1292/306 is 2/1530.