Greatest Common Factor of 46/580, 218/462, 763/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/580, 218/462, 763/548

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 46/580,218/462,763/548

Given fractions are 46/580,218/462,763/548

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 46,218,763

Greatest Common Factor of Numerators i.e. GCF of 46,218,763 is 1 .

LCM of Denominators means LCM of 580,462,548 as per the given fractions.

LCM of 580,462,548 is 18355260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,218,763

GCF of Fractions 46/580,218/462,763/548 is 1/18355260

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

Greatest Common Factor of 46,218,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,218,763 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 46,218,763 . The biggest common factor number is the GCF number.
So the greatest common factor 46,218,763 is 1.

Lets's calculate LCM of 580,462,548

2 580, 462, 548
2 290, 231, 274
145, 231, 137

∴ So the LCM of the given numbers is 2 x 2 x 145 x 231 x 137 = 18355260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18355260

Therefore, the GCF of Fractions 46/580,218/462,763/548 is 1/18355260

Least Common Multiple of 580,462,548 with GCF Formula

Least Common Multiple of 580,462,548 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 580,462,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,462,548) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(580,462,548) x common factors =2 x 4 = 8

LCM(580,462,548) = ( 580 × 462 × 548 ) / 8

LCM(580,462,548) = 146842080 / 8

LCM(580,462,548) = 18355260


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 46/580, 218/462, 763/548

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 46/580, 218/462, 763/548?

Answer: GCF of Numerators as per given numbers 46/580, 218/462, 763/548 is

GCF of Numerators i.e. for 46,218,763 is 1

LCM of denominators i.e. for 580,462,548 is 18355260.

Thus, GCF of Fractions is 1/18355260.Finally, GCF of Fractions for 46/580, 218/462, 763/548 is 1/18355260.