LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9529/339, 9307/644

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 9529/339, 9307/644 i.e 1/218316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9529/339, 9307/644.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9529/339,9307/644?

Given fractions are 9529/339,9307/644

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 9529/339,9307/644, numerators are 9529,9307

Denominators are 339,644

The GCF of 9529,9307 is 1 .

LCM of 339,644 is 218316.

The greatest common factor of 9529/339,9307/644 = [GCF of 9529,9307]/[LCM of 339,644]= 1/218316

Therefore, the GCF of 9529/339,9307/644 is 1/218316.

Greatest Common Factor of 9529,9307

To find the highest common factor of 9529,9307, we have to find the factors of both numbers and list the highest common factor.

The factors of 9529 are 1, 13, 733, 9529

The factors of 9307 are 1, 41, 227, 9307

The HCF of 9529,9307 is 1.

Lets's calculate GCF of 9529,9307

Greatest Common Factor (GCF) of 9529,9307 By Common Division

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

Greatest Common Factor of 9529,9307 By Matching Biggest Common Factor Method

Greatest Common Factor of 9529,9307 By Matching Biggest Common Factor Method

Now, list down the factors of 9529

:

1,13,733,9529

Now, list down the factors of 9307

:

1,41,227,9307

Greatest Common Factor

We found the factors 9529,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 9529,9307 is 1.

Lets's calculate LCM of 339,644

Lowest Common Multiple of 339,644 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 218316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218316

Therefore, the GCF of Fractions 9529/339,9307/644 is 1/218316

Least Common Multiple of 339,644 with GCF Formula

Least Common Multiple of 339,644 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 339,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,644) = 1

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

GCF(339,644) x common factors =1 x 1 = 1

LCM(339,644) = ( 339 × 644 ) / 1

LCM(339,644) = 218316 / 1

LCM(339,644) = 218316


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9529/339, 9307/644

1. What is the HCF of 9529,9307?

The HCF of 9529,9307 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 9529/339, 9307/644?

Answer: GCF of Numerators as per given numbers 9529/339, 9307/644 is

GCF of Numerators i.e. for 9529,9307 is 1

LCM of denominators i.e. for 339,644 is 218316.

Thus, GCF of Fractions is 1/218316.Finally, GCF of Fractions for 9529/339, 9307/644 is 1/218316.