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GCF of 4599/589, 4503/5093

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 4599/589, 4503/5093 i.e 3/2999777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4599/589, 4503/5093.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4599/589,4503/5093?

Given fractions are 4599/589,4503/5093

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 4599/589,4503/5093, numerators are 4599,4503

Denominators are 589,5093

The GCF of 4599,4503 is 3 .

LCM of 589,5093 is 2999777.

The greatest common factor of 4599/589,4503/5093 = [GCF of 4599,4503]/[LCM of 589,5093]= 3/2999777

Therefore, the GCF of 4599/589,4503/5093 is 3/2999777.

Greatest Common Factor of 4599,4503

To find the highest common factor of 4599,4503, we have to find the factors of both numbers and list the highest common factor.

The factors of 4599 are 1, 3, 7, 9, 21, 63, 73, 219, 511, 657, 1533, 4599

The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503

The HCF of 4599,4503 is 3.

Lets's calculate GCF of 4599,4503

Greatest Common Factor (GCF) of 4599,4503 By Common Division

3 4599, 4503
1533, 1501

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4599,4503 By Matching Biggest Common Factor Method

Greatest Common Factor of 4599,4503 By Matching Biggest Common Factor Method

Now, list down the factors of 4599

:

1,3,7,9,21,63,73,219,511,657,1533,4599

Now, list down the factors of 4503

:

1,3,19,57,79,237,1501,4503

Greatest Common Factor

We found the factors 4599,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 4599,4503 is 3.


Lets's calculate LCM of 589,5093

Lowest Common Multiple of 589,5093 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2999777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2999777

Therefore, the GCF of Fractions 4599/589,4503/5093 is 3/2999777

Least Common Multiple of 589,5093 with GCF Formula

Least Common Multiple of 589,5093 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 589,5093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,5093) = 1

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

GCF(589,5093) x common factors =1 x 1 = 1

LCM(589,5093) = ( 589 × 5093 ) / 1

LCM(589,5093) = 2999777 / 1

LCM(589,5093) = 2999777


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4599/589, 4503/5093

1. What is the HCF of 4599,4503?

The HCF of 4599,4503 is 3

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 4599/589, 4503/5093?

Answer: GCF of Numerators as per given numbers 4599/589, 4503/5093 is

GCF of Numerators i.e. for 4599,4503 is 3

LCM of denominators i.e. for 589,5093 is 2999777.

Thus, GCF of Fractions is 3/2999777.Finally, GCF of Fractions for 4599/589, 4503/5093 is 3/2999777.