Greatest Common Factor of 1522/309, 8238/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1522/309, 8238/802

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 1522/309,8238/802

Given fractions are 1522/309,8238/802

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 1522,8238

Greatest Common Factor of Numerators i.e. GCF of 1522,8238 is 2 .

LCM of Denominators means LCM of 309,802 as per the given fractions.

LCM of 309,802 is 247818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1522,8238

GCF of Fractions 1522/309,8238/802 is 2/247818

2 1522, 8238
761, 4119

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

Greatest Common Factor of 1522,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 1522,8238 By Matching Biggest Common Factor Method

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 1522,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,8238 is 2.

Lets's calculate LCM of 309,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 247818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247818

Therefore, the GCF of Fractions 1522/309,8238/802 is 2/247818

Least Common Multiple of 309,802 with GCF Formula

Least Common Multiple of 309,802 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 309,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,802) = 1

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

GCF(309,802) x common factors =1 x 1 = 1

LCM(309,802) = ( 309 × 802 ) / 1

LCM(309,802) = 247818 / 1

LCM(309,802) = 247818


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 1522/309, 8238/802

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 1522/309, 8238/802?

Answer: GCF of Numerators as per given numbers 1522/309, 8238/802 is

GCF of Numerators i.e. for 1522,8238 is 2

LCM of denominators i.e. for 309,802 is 247818.

Thus, GCF of Fractions is 2/247818.Finally, GCF of Fractions for 1522/309, 8238/802 is 2/247818.