How to Find GCF of 599/204, 3618/208?

GCF of 599/204, 3618/208

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 599/204, 3618/208 i.e 1/10608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/204, 3618/208.

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 599/204,3618/208?

Given fractions are 599/204,3618/208

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 599/204,3618/208, numerators are 599,3618

Denominators are 204,208

The GCF of 599,3618 is 1 .

LCM of 204,208 is 10608.

The greatest common factor of 599/204,3618/208 = [GCF of 599,3618]/[LCM of 204,208]= 1/10608

Therefore, the GCF of 599/204,3618/208 is 1/10608.

Greatest Common Factor of 599,3618

To find the highest common factor of 599,3618, 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 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618

The HCF of 599,3618 is 1.

Lets's calculate GCF of 599,3618

Greatest Common Factor (GCF) of 599,3618 By Common Division

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

Greatest Common Factor of 599,3618 By Matching Biggest Common Factor Method

Now, list down the factors of 599

1,599

Now, list down the factors of 3618

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors 599,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 599,3618 is 1.

Lets's calculate LCM of 204,208

Lowest Common Multiple of 204,208 using Common Division

2	204, 208
2	102, 104
	51, 52

∴ So the LCM of the given numbers is 2 x 2 x 51 x 52 = 10608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10608

Therefore, the GCF of Fractions 599/204,3618/208 is 1/10608

Least Common Multiple of 204,208 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 204,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,208) = 4

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

GCF(204,208) x common factors =4 x 1 = 4

LCM(204,208) = ( 204 × 208 ) / 4

LCM(204,208) = 42432 / 4

LCM(204,208) = 10608

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FAQs on GCF of Fractions of 599/204, 3618/208

1. What is the HCF of 599,3618?

The HCF of 599,3618 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 599/204, 3618/208?

Answer: GCF of Numerators as per given numbers 599/204, 3618/208 is

GCF of Numerators i.e. for 599,3618 is 1

LCM of denominators i.e. for 204,208 is 10608.

Thus, GCF of Fractions is 1/10608.Finally, GCF of Fractions for 599/204, 3618/208 is 1/10608.