How to Find GCF of 9391/231, 9274/4384?

GCF of 9391/231, 9274/4384

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 9391/231, 9274/4384 i.e 1/1012704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9391/231, 9274/4384.

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 9391/231,9274/4384?

Given fractions are 9391/231,9274/4384

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 9391/231,9274/4384, numerators are 9391,9274

Denominators are 231,4384

The GCF of 9391,9274 is 1 .

LCM of 231,4384 is 1012704.

The greatest common factor of 9391/231,9274/4384 = [GCF of 9391,9274]/[LCM of 231,4384]= 1/1012704

Therefore, the GCF of 9391/231,9274/4384 is 1/1012704.

Greatest Common Factor of 9391,9274

To find the highest common factor of 9391,9274, we have to find the factors of both numbers and list the highest common factor.

The factors of 9391 are 1, 9391

The factors of 9274 are 1, 2, 4637, 9274

The HCF of 9391,9274 is 1.

Lets's calculate GCF of 9391,9274

Greatest Common Factor (GCF) of 9391,9274 By Common Division

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

Greatest Common Factor of 9391,9274 By Matching Biggest Common Factor Method

Now, list down the factors of 9391

1,9391

Now, list down the factors of 9274

1,2,4637,9274

Greatest Common Factor

We found the factors 9391,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 9391,9274 is 1.

Lets's calculate LCM of 231,4384

Lowest Common Multiple of 231,4384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1012704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1012704

Therefore, the GCF of Fractions 9391/231,9274/4384 is 1/1012704

Least Common Multiple of 231,4384 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 231,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4384) = 1

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

GCF(231,4384) x common factors =1 x 1 = 1

LCM(231,4384) = ( 231 × 4384 ) / 1

LCM(231,4384) = 1012704 / 1

LCM(231,4384) = 1012704

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FAQs on GCF of Fractions of 9391/231, 9274/4384

1. What is the HCF of 9391,9274?

The HCF of 9391,9274 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 9391/231, 9274/4384?

Answer: GCF of Numerators as per given numbers 9391/231, 9274/4384 is

GCF of Numerators i.e. for 9391,9274 is 1

LCM of denominators i.e. for 231,4384 is 1012704.

Thus, GCF of Fractions is 1/1012704.Finally, GCF of Fractions for 9391/231, 9274/4384 is 1/1012704.