How to Find GCF of 9437/432, 7321/1313?

GCF of 9437/432, 7321/1313

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 9437/432, 7321/1313 i.e 1/567216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9437/432, 7321/1313.

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 9437/432,7321/1313?

Given fractions are 9437/432,7321/1313

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 9437/432,7321/1313, numerators are 9437,7321

Denominators are 432,1313

The GCF of 9437,7321 is 1 .

LCM of 432,1313 is 567216.

The greatest common factor of 9437/432,7321/1313 = [GCF of 9437,7321]/[LCM of 432,1313]= 1/567216

Therefore, the GCF of 9437/432,7321/1313 is 1/567216.

Greatest Common Factor of 9437,7321

To find the highest common factor of 9437,7321, we have to find the factors of both numbers and list the highest common factor.

The factors of 9437 are 1, 9437

The factors of 7321 are 1, 7321

The HCF of 9437,7321 is 1.

Lets's calculate GCF of 9437,7321

Greatest Common Factor (GCF) of 9437,7321 By Common Division

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

Greatest Common Factor of 9437,7321 By Matching Biggest Common Factor Method

Now, list down the factors of 9437

1,9437

Now, list down the factors of 7321

1,7321

Greatest Common Factor

We found the factors 9437,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,7321 is 1.

Lets's calculate LCM of 432,1313

Lowest Common Multiple of 432,1313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 567216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567216

Therefore, the GCF of Fractions 9437/432,7321/1313 is 1/567216

Least Common Multiple of 432,1313 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 432,1313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,1313) = 1

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

GCF(432,1313) x common factors =1 x 1 = 1

LCM(432,1313) = ( 432 × 1313 ) / 1

LCM(432,1313) = 567216 / 1

LCM(432,1313) = 567216

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FAQs on GCF of Fractions of 9437/432, 7321/1313

1. What is the HCF of 9437,7321?

The HCF of 9437,7321 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 9437/432, 7321/1313?

Answer: GCF of Numerators as per given numbers 9437/432, 7321/1313 is

GCF of Numerators i.e. for 9437,7321 is 1

LCM of denominators i.e. for 432,1313 is 567216.

Thus, GCF of Fractions is 1/567216.Finally, GCF of Fractions for 9437/432, 7321/1313 is 1/567216.