Greatest Common Factor of 73/490, 477/405, 608/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/490, 477/405, 608/120

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 73/490,477/405,608/120

Given fractions are 73/490,477/405,608/120

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 73,477,608

Greatest Common Factor of Numerators i.e. GCF of 73,477,608 is 1 .

LCM of Denominators means LCM of 490,405,120 as per the given fractions.

LCM of 490,405,120 is 158760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,477,608

GCF of Fractions 73/490,477/405,608/120 is 1/158760

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

Greatest Common Factor of 73,477,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,477,608 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 73,477,608 . The biggest common factor number is the GCF number.
So the greatest common factor 73,477,608 is 1.

Lets's calculate LCM of 490,405,120

2 490, 405, 120
3 245, 405, 60
5 245, 135, 20
49, 27, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 49 x 27 x 4 = 158760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158760

Therefore, the GCF of Fractions 73/490,477/405,608/120 is 1/158760

Least Common Multiple of 490,405,120 with GCF Formula

Least Common Multiple of 490,405,120 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 490,405,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,405,120) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(490,405,120) x common factors =5 x 30 = 150

LCM(490,405,120) = ( 490 × 405 × 120 ) / 150

LCM(490,405,120) = 23814000 / 150

LCM(490,405,120) = 158760


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 73/490, 477/405, 608/120

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 73/490, 477/405, 608/120?

Answer: GCF of Numerators as per given numbers 73/490, 477/405, 608/120 is

GCF of Numerators i.e. for 73,477,608 is 1

LCM of denominators i.e. for 490,405,120 is 158760.

Thus, GCF of Fractions is 1/158760.Finally, GCF of Fractions for 73/490, 477/405, 608/120 is 1/158760.