How to Find GCF of 5817/643, 4238/384?

GCF of 5817/643, 4238/384

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 5817/643, 4238/384 i.e 1/246912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5817/643, 4238/384.

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 5817/643,4238/384?

Given fractions are 5817/643,4238/384

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 5817/643,4238/384, numerators are 5817,4238

Denominators are 643,384

The GCF of 5817,4238 is 1 .

LCM of 643,384 is 246912.

The greatest common factor of 5817/643,4238/384 = [GCF of 5817,4238]/[LCM of 643,384]= 1/246912

Therefore, the GCF of 5817/643,4238/384 is 1/246912.

Greatest Common Factor of 5817,4238

To find the highest common factor of 5817,4238, we have to find the factors of both numbers and list the highest common factor.

The factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817

The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238

The HCF of 5817,4238 is 1.

Lets's calculate GCF of 5817,4238

Greatest Common Factor (GCF) of 5817,4238 By Common Division

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

Greatest Common Factor of 5817,4238 By Matching Biggest Common Factor Method

Now, list down the factors of 5817

1,3,7,21,277,831,1939,5817

Now, list down the factors of 4238

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors 5817,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 5817,4238 is 1.

Lets's calculate LCM of 643,384

Lowest Common Multiple of 643,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 246912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246912

Therefore, the GCF of Fractions 5817/643,4238/384 is 1/246912

Least Common Multiple of 643,384 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 643,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,384) = 1

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

GCF(643,384) x common factors =1 x 1 = 1

LCM(643,384) = ( 643 × 384 ) / 1

LCM(643,384) = 246912 / 1

LCM(643,384) = 246912

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FAQs on GCF of Fractions of 5817/643, 4238/384

1. What is the HCF of 5817,4238?

The HCF of 5817,4238 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 5817/643, 4238/384?

Answer: GCF of Numerators as per given numbers 5817/643, 4238/384 is

GCF of Numerators i.e. for 5817,4238 is 1

LCM of denominators i.e. for 643,384 is 246912.

Thus, GCF of Fractions is 1/246912.Finally, GCF of Fractions for 5817/643, 4238/384 is 1/246912.