Greatest Common Factor of 1522/492, 8090/8703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1522/492, 8090/8703

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 1522/492,8090/8703

Given fractions are 1522/492,8090/8703

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 1522,8090

Greatest Common Factor of Numerators i.e. GCF of 1522,8090 is 2 .

LCM of Denominators means LCM of 492,8703 as per the given fractions.

LCM of 492,8703 is 1427292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1522,8090

GCF of Fractions 1522/492,8090/8703 is 2/1427292

2 1522, 8090
761, 4045

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

Greatest Common Factor of 1522,8090 By Matching Biggest Common Factor Method

Greatest Common Factor of 1522,8090 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 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Greatest Common Factor

We found the factors 1522,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,8090 is 2.

Lets's calculate LCM of 492,8703

3 492, 8703
164, 2901

∴ So the LCM of the given numbers is 3 x 164 x 2901 = 1427292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1427292

Therefore, the GCF of Fractions 1522/492,8090/8703 is 2/1427292

Least Common Multiple of 492,8703 with GCF Formula

Least Common Multiple of 492,8703 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 492,8703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,8703) = 3

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

GCF(492,8703) x common factors =3 x 1 = 3

LCM(492,8703) = ( 492 × 8703 ) / 3

LCM(492,8703) = 4281876 / 3

LCM(492,8703) = 1427292


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 1522/492, 8090/8703

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 1522/492, 8090/8703?

Answer: GCF of Numerators as per given numbers 1522/492, 8090/8703 is

GCF of Numerators i.e. for 1522,8090 is 2

LCM of denominators i.e. for 492,8703 is 1427292.

Thus, GCF of Fractions is 2/1427292.Finally, GCF of Fractions for 1522/492, 8090/8703 is 2/1427292.