How to Find GCF of 9238/379, 9927/4249?

GCF of 9238/379, 9927/4249

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 9238/379, 9927/4249 i.e 1/1610371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9238/379, 9927/4249.

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 9238/379,9927/4249?

Given fractions are 9238/379,9927/4249

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 9238/379,9927/4249, numerators are 9238,9927

Denominators are 379,4249

The GCF of 9238,9927 is 1 .

LCM of 379,4249 is 1610371.

The greatest common factor of 9238/379,9927/4249 = [GCF of 9238,9927]/[LCM of 379,4249]= 1/1610371

Therefore, the GCF of 9238/379,9927/4249 is 1/1610371.

Greatest Common Factor of 9238,9927

To find the highest common factor of 9238,9927, 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 factors of 9927 are 1, 3, 9, 1103, 3309, 9927

The HCF of 9238,9927 is 1.

Lets's calculate GCF of 9238,9927

Greatest Common Factor (GCF) of 9238,9927 By Common Division

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

Greatest Common Factor of 9238,9927 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 9927

1,3,9,1103,3309,9927

Greatest Common Factor

We found the factors 9238,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,9927 is 1.

Lets's calculate LCM of 379,4249

Lowest Common Multiple of 379,4249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1610371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1610371

Therefore, the GCF of Fractions 9238/379,9927/4249 is 1/1610371

Least Common Multiple of 379,4249 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 379,4249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,4249) = 1

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

GCF(379,4249) x common factors =1 x 1 = 1

LCM(379,4249) = ( 379 × 4249 ) / 1

LCM(379,4249) = 1610371 / 1

LCM(379,4249) = 1610371

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FAQs on GCF of Fractions of 9238/379, 9927/4249

1. What is the HCF of 9238,9927?

The HCF of 9238,9927 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 9238/379, 9927/4249?

Answer: GCF of Numerators as per given numbers 9238/379, 9927/4249 is

GCF of Numerators i.e. for 9238,9927 is 1

LCM of denominators i.e. for 379,4249 is 1610371.

Thus, GCF of Fractions is 1/1610371.Finally, GCF of Fractions for 9238/379, 9927/4249 is 1/1610371.