How to Find GCF of 4823/604, 3937/5659?

GCF of 4823/604, 3937/5659

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 4823/604, 3937/5659 i.e 1/3418036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4823/604, 3937/5659.

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 4823/604,3937/5659?

Given fractions are 4823/604,3937/5659

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 4823/604,3937/5659, numerators are 4823,3937

Denominators are 604,5659

The GCF of 4823,3937 is 1 .

LCM of 604,5659 is 3418036.

The greatest common factor of 4823/604,3937/5659 = [GCF of 4823,3937]/[LCM of 604,5659]= 1/3418036

Therefore, the GCF of 4823/604,3937/5659 is 1/3418036.

Greatest Common Factor of 4823,3937

To find the highest common factor of 4823,3937, we have to find the factors of both numbers and list the highest common factor.

The factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823

The factors of 3937 are 1, 31, 127, 3937

The HCF of 4823,3937 is 1.

Lets's calculate GCF of 4823,3937

Greatest Common Factor (GCF) of 4823,3937 By Common Division

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

Greatest Common Factor of 4823,3937 By Matching Biggest Common Factor Method

Now, list down the factors of 4823

1,7,13,53,91,371,689,4823

Now, list down the factors of 3937

1,31,127,3937

Greatest Common Factor

We found the factors 4823,3937 . The biggest common factor number is the GCF number.
So the greatest common factor 4823,3937 is 1.

Lets's calculate LCM of 604,5659

Lowest Common Multiple of 604,5659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3418036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3418036

Therefore, the GCF of Fractions 4823/604,3937/5659 is 1/3418036

Least Common Multiple of 604,5659 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 604,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,5659) = 1

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

GCF(604,5659) x common factors =1 x 1 = 1

LCM(604,5659) = ( 604 × 5659 ) / 1

LCM(604,5659) = 3418036 / 1

LCM(604,5659) = 3418036

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FAQs on GCF of Fractions of 4823/604, 3937/5659

1. What is the HCF of 4823,3937?

The HCF of 4823,3937 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 4823/604, 3937/5659?

Answer: GCF of Numerators as per given numbers 4823/604, 3937/5659 is

GCF of Numerators i.e. for 4823,3937 is 1

LCM of denominators i.e. for 604,5659 is 3418036.

Thus, GCF of Fractions is 1/3418036.Finally, GCF of Fractions for 4823/604, 3937/5659 is 1/3418036.