How to Find GCF of 9503/590, 6601/8928?

GCF of 9503/590, 6601/8928

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9503/590, 6601/8928 i.e 1/2633760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9503/590, 6601/8928.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9503/590,6601/8928?

Given fractions are 9503/590,6601/8928

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9503/590,6601/8928, numerators are 9503,6601

Denominators are 590,8928

The GCF of 9503,6601 is 1 .

LCM of 590,8928 is 2633760.

The greatest common factor of 9503/590,6601/8928 = [GCF of 9503,6601]/[LCM of 590,8928]= 1/2633760

Therefore, the GCF of 9503/590,6601/8928 is 1/2633760.

Greatest Common Factor of 9503,6601

To find the highest common factor of 9503,6601, we have to find the factors of both numbers and list the highest common factor.

The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503

The factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601

The HCF of 9503,6601 is 1.

Lets's calculate GCF of 9503,6601

Greatest Common Factor (GCF) of 9503,6601 By Common Division

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

Greatest Common Factor of 9503,6601 By Matching Biggest Common Factor Method

Now, list down the factors of 9503

1,13,17,43,221,559,731,9503

Now, list down the factors of 6601

1,7,23,41,161,287,943,6601

Greatest Common Factor

We found the factors 9503,6601 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,6601 is 1.

Lets's calculate LCM of 590,8928

Lowest Common Multiple of 590,8928 using Common Division

2	590, 8928
	295, 4464

∴ So the LCM of the given numbers is 2 x 295 x 4464 = 2633760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2633760

Therefore, the GCF of Fractions 9503/590,6601/8928 is 1/2633760

Least Common Multiple of 590,8928 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 590,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,8928) = 2

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

GCF(590,8928) x common factors =2 x 1 = 2

LCM(590,8928) = ( 590 × 8928 ) / 2

LCM(590,8928) = 5267520 / 2

LCM(590,8928) = 2633760

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9503/590, 6601/8928

1. What is the HCF of 9503,6601?

The HCF of 9503,6601 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9503/590, 6601/8928?

Answer: GCF of Numerators as per given numbers 9503/590, 6601/8928 is

GCF of Numerators i.e. for 9503,6601 is 1

LCM of denominators i.e. for 590,8928 is 2633760.

Thus, GCF of Fractions is 1/2633760.Finally, GCF of Fractions for 9503/590, 6601/8928 is 1/2633760.