How to Find GCF of 600/605, 618/941?

GCF of 600/605, 618/941

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 600/605, 618/941 i.e 6/569305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/605, 618/941.

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 600/605,618/941?

Given fractions are 600/605,618/941

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 600/605,618/941, numerators are 600,618

Denominators are 605,941

The GCF of 600,618 is 6 .

LCM of 605,941 is 569305.

The greatest common factor of 600/605,618/941 = [GCF of 600,618]/[LCM of 605,941]= 6/569305

Therefore, the GCF of 600/605,618/941 is 6/569305.

Greatest Common Factor of 600,618

To find the highest common factor of 600,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

The HCF of 600,618 is 6.

Lets's calculate GCF of 600,618

Greatest Common Factor (GCF) of 600,618 By Common Division

2	600, 618
3	300, 309
	100, 103

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

Greatest Common Factor of 600,618 By Matching Biggest Common Factor Method

Now, list down the factors of 600

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Now, list down the factors of 618

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

Greatest Common Factor

We found the factors 600,618 . The biggest common factor number is the GCF number.
So the greatest common factor 600,618 is 6.

Lets's calculate LCM of 605,941

Lowest Common Multiple of 605,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 569305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/569305

Therefore, the GCF of Fractions 600/605,618/941 is 6/569305

Least Common Multiple of 605,941 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 605,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,941) = 1

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

GCF(605,941) x common factors =1 x 1 = 1

LCM(605,941) = ( 605 × 941 ) / 1

LCM(605,941) = 569305 / 1

LCM(605,941) = 569305

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 600/605, 618/941

1. What is the HCF of 600,618?

The HCF of 600,618 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 600/605, 618/941?

Answer: GCF of Numerators as per given numbers 600/605, 618/941 is

GCF of Numerators i.e. for 600,618 is 6

LCM of denominators i.e. for 605,941 is 569305.

Thus, GCF of Fractions is 6/569305.Finally, GCF of Fractions for 600/605, 618/941 is 6/569305.