How to Find GCF of 8229/387, 9238/1438?

GCF of 8229/387, 9238/1438

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 8229/387, 9238/1438 i.e 1/556506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8229/387, 9238/1438.

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 8229/387,9238/1438?

Given fractions are 8229/387,9238/1438

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 8229/387,9238/1438, numerators are 8229,9238

Denominators are 387,1438

The GCF of 8229,9238 is 1 .

LCM of 387,1438 is 556506.

The greatest common factor of 8229/387,9238/1438 = [GCF of 8229,9238]/[LCM of 387,1438]= 1/556506

Therefore, the GCF of 8229/387,9238/1438 is 1/556506.

Greatest Common Factor of 8229,9238

To find the highest common factor of 8229,9238, we have to find the factors of both numbers and list the highest common factor.

The factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229

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

The HCF of 8229,9238 is 1.

Lets's calculate GCF of 8229,9238

Greatest Common Factor (GCF) of 8229,9238 By Common Division

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

Greatest Common Factor of 8229,9238 By Matching Biggest Common Factor Method

Now, list down the factors of 8229

1,3,13,39,211,633,2743,8229

Now, list down the factors of 9238

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

Greatest Common Factor

We found the factors 8229,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 8229,9238 is 1.

Lets's calculate LCM of 387,1438

Lowest Common Multiple of 387,1438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 556506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556506

Therefore, the GCF of Fractions 8229/387,9238/1438 is 1/556506

Least Common Multiple of 387,1438 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 387,1438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,1438) = 1

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

GCF(387,1438) x common factors =1 x 1 = 1

LCM(387,1438) = ( 387 × 1438 ) / 1

LCM(387,1438) = 556506 / 1

LCM(387,1438) = 556506

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FAQs on GCF of Fractions of 8229/387, 9238/1438

1. What is the HCF of 8229,9238?

The HCF of 8229,9238 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 8229/387, 9238/1438?

Answer: GCF of Numerators as per given numbers 8229/387, 9238/1438 is

GCF of Numerators i.e. for 8229,9238 is 1

LCM of denominators i.e. for 387,1438 is 556506.

Thus, GCF of Fractions is 1/556506.Finally, GCF of Fractions for 8229/387, 9238/1438 is 1/556506.