Greatest Common Factor of 8303/59, 9223/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8303/59, 9223/690

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 8303/59,9223/690

Given fractions are 8303/59,9223/690

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 8303,9223

Greatest Common Factor of Numerators i.e. GCF of 8303,9223 is 23 .

LCM of Denominators means LCM of 59,690 as per the given fractions.

LCM of 59,690 is 40710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8303,9223

GCF of Fractions 8303/59,9223/690 is 23/40710

23 8303, 9223
361, 401

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8303,9223 By Matching Biggest Common Factor Method

Greatest Common Factor of 8303,9223 By Matching Biggest Common Factor Method

Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1,19,23,361,437,8303

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1,23,401,9223

Greatest Common Factor

We found the factors 8303,9223 . The biggest common factor number is the GCF number.
So the greatest common factor 8303,9223 is 23.

Lets's calculate LCM of 59,690

Given numbers has no common factors except 1. So, there LCM is their product i.e 40710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/40710

Therefore, the GCF of Fractions 8303/59,9223/690 is 23/40710

Least Common Multiple of 59,690 with GCF Formula

Least Common Multiple of 59,690 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 59,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,690) = 1

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

GCF(59,690) x common factors =1 x 1 = 1

LCM(59,690) = ( 59 × 690 ) / 1

LCM(59,690) = 40710 / 1

LCM(59,690) = 40710


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 8303/59, 9223/690

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 8303/59, 9223/690?

Answer: GCF of Numerators as per given numbers 8303/59, 9223/690 is

GCF of Numerators i.e. for 8303,9223 is 23

LCM of denominators i.e. for 59,690 is 40710.

Thus, GCF of Fractions is 23/40710.Finally, GCF of Fractions for 8303/59, 9223/690 is 23/40710.