How to Find GCF of 9399/233, 7582/2199?

GCF of 9399/233, 7582/2199

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 9399/233, 7582/2199 i.e 1/512367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9399/233, 7582/2199.

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 9399/233,7582/2199?

Given fractions are 9399/233,7582/2199

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 9399/233,7582/2199, numerators are 9399,7582

Denominators are 233,2199

The GCF of 9399,7582 is 1 .

LCM of 233,2199 is 512367.

The greatest common factor of 9399/233,7582/2199 = [GCF of 9399,7582]/[LCM of 233,2199]= 1/512367

Therefore, the GCF of 9399/233,7582/2199 is 1/512367.

Greatest Common Factor of 9399,7582

To find the highest common factor of 9399,7582, we have to find the factors of both numbers and list the highest common factor.

The factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399

The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582

The HCF of 9399,7582 is 1.

Lets's calculate GCF of 9399,7582

Greatest Common Factor (GCF) of 9399,7582 By Common Division

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

Greatest Common Factor of 9399,7582 By Matching Biggest Common Factor Method

Now, list down the factors of 9399

1,3,13,39,241,723,3133,9399

Now, list down the factors of 7582

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 9399,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 9399,7582 is 1.

Lets's calculate LCM of 233,2199

Lowest Common Multiple of 233,2199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 512367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512367

Therefore, the GCF of Fractions 9399/233,7582/2199 is 1/512367

Least Common Multiple of 233,2199 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 233,2199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,2199) = 1

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

GCF(233,2199) x common factors =1 x 1 = 1

LCM(233,2199) = ( 233 × 2199 ) / 1

LCM(233,2199) = 512367 / 1

LCM(233,2199) = 512367

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FAQs on GCF of Fractions of 9399/233, 7582/2199

1. What is the HCF of 9399,7582?

The HCF of 9399,7582 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 9399/233, 7582/2199?

Answer: GCF of Numerators as per given numbers 9399/233, 7582/2199 is

GCF of Numerators i.e. for 9399,7582 is 1

LCM of denominators i.e. for 233,2199 is 512367.

Thus, GCF of Fractions is 1/512367.Finally, GCF of Fractions for 9399/233, 7582/2199 is 1/512367.