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GCF of 599/338, 601/682

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 599/338, 601/682 i.e 1/115258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/338, 601/682.

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 599/338,601/682?

Given fractions are 599/338,601/682

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 599/338,601/682, numerators are 599,601

Denominators are 338,682

The GCF of 599,601 is 1 .

LCM of 338,682 is 115258.

The greatest common factor of 599/338,601/682 = [GCF of 599,601]/[LCM of 338,682]= 1/115258

Therefore, the GCF of 599/338,601/682 is 1/115258.

Greatest Common Factor of 599,601

To find the highest common factor of 599,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 599 are 1, 599

The factors of 601 are 1, 601

The HCF of 599,601 is 1.

Lets's calculate GCF of 599,601

Greatest Common Factor (GCF) of 599,601 By Common Division

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

Greatest Common Factor of 599,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,601 By Matching Biggest Common Factor Method

Now, list down the factors of 599

:

1,599

Now, list down the factors of 601

:

1,601

Greatest Common Factor

We found the factors 599,601 . The biggest common factor number is the GCF number.
So the greatest common factor 599,601 is 1.

Lets's calculate LCM of 338,682

Lowest Common Multiple of 338,682 using Common Division

2 338, 682
169, 341

∴ So the LCM of the given numbers is 2 x 169 x 341 = 115258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115258

Therefore, the GCF of Fractions 599/338,601/682 is 1/115258

Least Common Multiple of 338,682 with GCF Formula

Least Common Multiple of 338,682 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 338,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,682) = 2

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

GCF(338,682) x common factors =2 x 1 = 2

LCM(338,682) = ( 338 × 682 ) / 2

LCM(338,682) = 230516 / 2

LCM(338,682) = 115258


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FAQs on GCF of Fractions of 599/338, 601/682

1. What is the HCF of 599,601?

The HCF of 599,601 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 599/338, 601/682?

Answer: GCF of Numerators as per given numbers 599/338, 601/682 is

GCF of Numerators i.e. for 599,601 is 1

LCM of denominators i.e. for 338,682 is 115258.

Thus, GCF of Fractions is 1/115258.Finally, GCF of Fractions for 599/338, 601/682 is 1/115258.