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GCF of 595/68, 499/582

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 595/68, 499/582 i.e 1/19788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/68, 499/582.

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 595/68,499/582?

Given fractions are 595/68,499/582

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 595/68,499/582, numerators are 595,499

Denominators are 68,582

The GCF of 595,499 is 1 .

LCM of 68,582 is 19788.

The greatest common factor of 595/68,499/582 = [GCF of 595,499]/[LCM of 68,582]= 1/19788

Therefore, the GCF of 595/68,499/582 is 1/19788.

Greatest Common Factor of 595,499

To find the highest common factor of 595,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595

The factors of 499 are 1, 499

The HCF of 595,499 is 1.

Lets's calculate GCF of 595,499

Greatest Common Factor (GCF) of 595,499 By Common Division

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

Greatest Common Factor of 595,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,499 By Matching Biggest Common Factor Method

Now, list down the factors of 595

:

1,5,7,17,35,85,119,595

Now, list down the factors of 499

:

1,499

Greatest Common Factor

We found the factors 595,499 . The biggest common factor number is the GCF number.
So the greatest common factor 595,499 is 1.

Lets's calculate LCM of 68,582

Lowest Common Multiple of 68,582 using Common Division

2 68, 582
34, 291

∴ So the LCM of the given numbers is 2 x 34 x 291 = 19788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19788

Therefore, the GCF of Fractions 595/68,499/582 is 1/19788

Least Common Multiple of 68,582 with GCF Formula

Least Common Multiple of 68,582 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 68,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,582) = 2

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

GCF(68,582) x common factors =2 x 1 = 2

LCM(68,582) = ( 68 × 582 ) / 2

LCM(68,582) = 39576 / 2

LCM(68,582) = 19788


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FAQs on GCF of Fractions of 595/68, 499/582

1. What is the HCF of 595,499?

The HCF of 595,499 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 595/68, 499/582?

Answer: GCF of Numerators as per given numbers 595/68, 499/582 is

GCF of Numerators i.e. for 595,499 is 1

LCM of denominators i.e. for 68,582 is 19788.

Thus, GCF of Fractions is 1/19788.Finally, GCF of Fractions for 595/68, 499/582 is 1/19788.