How to Find GCF of 618/206, 360/479?

GCF of 618/206, 360/479

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 618/206, 360/479 i.e 6/98674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/206, 360/479.

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 618/206,360/479?

Given fractions are 618/206,360/479

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 618/206,360/479, numerators are 618,360

Denominators are 206,479

The GCF of 618,360 is 6 .

LCM of 206,479 is 98674.

The greatest common factor of 618/206,360/479 = [GCF of 618,360]/[LCM of 206,479]= 6/98674

Therefore, the GCF of 618/206,360/479 is 6/98674.

Greatest Common Factor of 618,360

To find the highest common factor of 618,360, we have to find the factors of both numbers and list the highest common factor.

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

The HCF of 618,360 is 6.

Lets's calculate GCF of 618,360

Greatest Common Factor (GCF) of 618,360 By Common Division

2	618, 360
3	309, 180
	103, 60

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 618,360 By Matching Biggest Common Factor Method

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Now, list down the factors of 360

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 618,360 . The biggest common factor number is the GCF number.
So the greatest common factor 618,360 is 6.

Lets's calculate LCM of 206,479

Lowest Common Multiple of 206,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 98674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/98674

Therefore, the GCF of Fractions 618/206,360/479 is 6/98674

Least Common Multiple of 206,479 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 206,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,479) = 1

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

GCF(206,479) x common factors =1 x 1 = 1

LCM(206,479) = ( 206 × 479 ) / 1

LCM(206,479) = 98674 / 1

LCM(206,479) = 98674

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 618/206, 360/479

1. What is the HCF of 618,360?

The HCF of 618,360 is 6

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 618/206, 360/479?

Answer: GCF of Numerators as per given numbers 618/206, 360/479 is

GCF of Numerators i.e. for 618,360 is 6

LCM of denominators i.e. for 206,479 is 98674.

Thus, GCF of Fractions is 6/98674.Finally, GCF of Fractions for 618/206, 360/479 is 6/98674.