How to Find GCF of 6339/832, 4999/2064?

GCF of 6339/832, 4999/2064

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 6339/832, 4999/2064 i.e 1/107328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6339/832, 4999/2064.

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 6339/832,4999/2064?

Given fractions are 6339/832,4999/2064

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 6339/832,4999/2064, numerators are 6339,4999

Denominators are 832,2064

The GCF of 6339,4999 is 1 .

LCM of 832,2064 is 107328.

The greatest common factor of 6339/832,4999/2064 = [GCF of 6339,4999]/[LCM of 832,2064]= 1/107328

Therefore, the GCF of 6339/832,4999/2064 is 1/107328.

Greatest Common Factor of 6339,4999

To find the highest common factor of 6339,4999, we have to find the factors of both numbers and list the highest common factor.

The factors of 6339 are 1, 3, 2113, 6339

The factors of 4999 are 1, 4999

The HCF of 6339,4999 is 1.

Lets's calculate GCF of 6339,4999

Greatest Common Factor (GCF) of 6339,4999 By Common Division

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

Greatest Common Factor of 6339,4999 By Matching Biggest Common Factor Method

Now, list down the factors of 6339

1,3,2113,6339

Now, list down the factors of 4999

1,4999

Greatest Common Factor

We found the factors 6339,4999 . The biggest common factor number is the GCF number.
So the greatest common factor 6339,4999 is 1.

Lets's calculate LCM of 832,2064

Lowest Common Multiple of 832,2064 using Common Division

2	832, 2064
2	416, 1032
2	208, 516
2	104, 258
	52, 129

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 52 x 129 = 107328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107328

Therefore, the GCF of Fractions 6339/832,4999/2064 is 1/107328

Least Common Multiple of 832,2064 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 832,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,2064) = 16

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

GCF(832,2064) x common factors =16 x 1 = 16

LCM(832,2064) = ( 832 × 2064 ) / 16

LCM(832,2064) = 1717248 / 16

LCM(832,2064) = 107328

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FAQs on GCF of Fractions of 6339/832, 4999/2064

1. What is the HCF of 6339,4999?

The HCF of 6339,4999 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 6339/832, 4999/2064?

Answer: GCF of Numerators as per given numbers 6339/832, 4999/2064 is

GCF of Numerators i.e. for 6339,4999 is 1

LCM of denominators i.e. for 832,2064 is 107328.

Thus, GCF of Fractions is 1/107328.Finally, GCF of Fractions for 6339/832, 4999/2064 is 1/107328.