How to Find GCF of 6383/137, 2339/5364?

GCF of 6383/137, 2339/5364

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 6383/137, 2339/5364 i.e 1/734868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6383/137, 2339/5364.

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 6383/137,2339/5364?

Given fractions are 6383/137,2339/5364

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 6383/137,2339/5364, numerators are 6383,2339

Denominators are 137,5364

The GCF of 6383,2339 is 1 .

LCM of 137,5364 is 734868.

The greatest common factor of 6383/137,2339/5364 = [GCF of 6383,2339]/[LCM of 137,5364]= 1/734868

Therefore, the GCF of 6383/137,2339/5364 is 1/734868.

Greatest Common Factor of 6383,2339

To find the highest common factor of 6383,2339, we have to find the factors of both numbers and list the highest common factor.

The factors of 6383 are 1, 13, 491, 6383

The factors of 2339 are 1, 2339

The HCF of 6383,2339 is 1.

Lets's calculate GCF of 6383,2339

Greatest Common Factor (GCF) of 6383,2339 By Common Division

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

Greatest Common Factor of 6383,2339 By Matching Biggest Common Factor Method

Now, list down the factors of 6383

1,13,491,6383

Now, list down the factors of 2339

1,2339

Greatest Common Factor

We found the factors 6383,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 6383,2339 is 1.

Lets's calculate LCM of 137,5364

Lowest Common Multiple of 137,5364 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 734868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734868

Therefore, the GCF of Fractions 6383/137,2339/5364 is 1/734868

Least Common Multiple of 137,5364 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 137,5364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,5364) = 1

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

GCF(137,5364) x common factors =1 x 1 = 1

LCM(137,5364) = ( 137 × 5364 ) / 1

LCM(137,5364) = 734868 / 1

LCM(137,5364) = 734868

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FAQs on GCF of Fractions of 6383/137, 2339/5364

1. What is the HCF of 6383,2339?

The HCF of 6383,2339 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 6383/137, 2339/5364?

Answer: GCF of Numerators as per given numbers 6383/137, 2339/5364 is

GCF of Numerators i.e. for 6383,2339 is 1

LCM of denominators i.e. for 137,5364 is 734868.

Thus, GCF of Fractions is 1/734868.Finally, GCF of Fractions for 6383/137, 2339/5364 is 1/734868.