Greatest Common Factor of 483/605, 7077/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/605, 7077/618

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 483/605,7077/618

Given fractions are 483/605,7077/618

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 483,7077

Greatest Common Factor of Numerators i.e. GCF of 483,7077 is 21 .

LCM of Denominators means LCM of 605,618 as per the given fractions.

LCM of 605,618 is 373890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,7077

GCF of Fractions 483/605,7077/618 is 21/373890

3 483, 7077
7 161, 2359
23, 337

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 483,7077 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,7077 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 7077

List of positive integer factors of 7077 that divides 7077 without a remainder.

1,3,7,21,337,1011,2359,7077

Greatest Common Factor

We found the factors 483,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 483,7077 is 21.

Lets's calculate LCM of 605,618

Given numbers has no common factors except 1. So, there LCM is their product i.e 373890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/373890

Therefore, the GCF of Fractions 483/605,7077/618 is 21/373890

Least Common Multiple of 605,618 with GCF Formula

Least Common Multiple of 605,618 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 605,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,618) = 1

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

GCF(605,618) x common factors =1 x 1 = 1

LCM(605,618) = ( 605 × 618 ) / 1

LCM(605,618) = 373890 / 1

LCM(605,618) = 373890


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 483/605, 7077/618

1. 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.

2. What is the GCF of Fractions for 483/605, 7077/618?

Answer: GCF of Numerators as per given numbers 483/605, 7077/618 is

GCF of Numerators i.e. for 483,7077 is 21

LCM of denominators i.e. for 605,618 is 373890.

Thus, GCF of Fractions is 21/373890.Finally, GCF of Fractions for 483/605, 7077/618 is 21/373890.