Greatest Common Factor of 64/580, 323/333, 546/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/580, 323/333, 546/651

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 64/580,323/333,546/651

Given fractions are 64/580,323/333,546/651

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 64,323,546

Greatest Common Factor of Numerators i.e. GCF of 64,323,546 is 1 .

LCM of Denominators means LCM of 580,333,651 as per the given fractions.

LCM of 580,333,651 is 41911380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,323,546

GCF of Fractions 64/580,323/333,546/651 is 1/41911380

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

Greatest Common Factor of 64,323,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,323,546 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 64,323,546 . The biggest common factor number is the GCF number.
So the greatest common factor 64,323,546 is 1.

Lets's calculate LCM of 580,333,651

3 580, 333, 651
580, 111, 217

∴ So the LCM of the given numbers is 3 x 580 x 111 x 217 = 41911380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41911380

Therefore, the GCF of Fractions 64/580,323/333,546/651 is 1/41911380

Least Common Multiple of 580,333,651 with GCF Formula

Least Common Multiple of 580,333,651 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 580,333,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,333,651) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(580,333,651) x common factors =1 x 3 = 3

LCM(580,333,651) = ( 580 × 333 × 651 ) / 3

LCM(580,333,651) = 125734140 / 3

LCM(580,333,651) = 41911380


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 64/580, 323/333, 546/651

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 64/580, 323/333, 546/651?

Answer: GCF of Numerators as per given numbers 64/580, 323/333, 546/651 is

GCF of Numerators i.e. for 64,323,546 is 1

LCM of denominators i.e. for 580,333,651 is 41911380.

Thus, GCF of Fractions is 1/41911380.Finally, GCF of Fractions for 64/580, 323/333, 546/651 is 1/41911380.