How to Find GCF of 9238/424, 9238/7899?

GCF of 9238/424, 9238/7899

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 9238/424, 9238/7899 i.e 9238/3349176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9238/424, 9238/7899.

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 9238/424,9238/7899?

Given fractions are 9238/424,9238/7899

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 9238/424,9238/7899, numerators are 9238,9238

Denominators are 424,7899

The GCF of 9238,9238 is 9238 .

LCM of 424,7899 is 3349176.

The greatest common factor of 9238/424,9238/7899 = [GCF of 9238,9238]/[LCM of 424,7899]= 9238/3349176

Therefore, the GCF of 9238/424,9238/7899 is 9238/3349176.

Greatest Common Factor of 9238,9238

To find the highest common factor of 9238,9238, we have to find the factors of both numbers and list the highest common factor.

The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238

The HCF of 9238,9238 is 9238.

Lets's calculate GCF of 9238,9238

Greatest Common Factor (GCF) of 9238,9238 By Common Division

2	9238, 9238
31	4619, 4619
149	149, 149
	1, 1

∴ So the GCF of the given numbers is 2 x 31 x 149 = 9238

Greatest Common Factor of 9238,9238 By Matching Biggest Common Factor Method

Now, list down the factors of 9238

1,2,31,62,149,298,4619,9238

Now, list down the factors of 9238

1,2,31,62,149,298,4619,9238

Greatest Common Factor

We found the factors 9238,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,9238 is 9238.

Lets's calculate LCM of 424,7899

Lowest Common Multiple of 424,7899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3349176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9238/3349176

Therefore, the GCF of Fractions 9238/424,9238/7899 is 9238/3349176

Least Common Multiple of 424,7899 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 424,7899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,7899) = 1

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

GCF(424,7899) x common factors =1 x 1 = 1

LCM(424,7899) = ( 424 × 7899 ) / 1

LCM(424,7899) = 3349176 / 1

LCM(424,7899) = 3349176

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FAQs on GCF of Fractions of 9238/424, 9238/7899

1. What is the HCF of 9238,9238?

The HCF of 9238,9238 is 9238

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 9238/424, 9238/7899?

Answer: GCF of Numerators as per given numbers 9238/424, 9238/7899 is

GCF of Numerators i.e. for 9238,9238 is 9238

LCM of denominators i.e. for 424,7899 is 3349176.

Thus, GCF of Fractions is 9238/3349176.Finally, GCF of Fractions for 9238/424, 9238/7899 is 9238/3349176.