Greatest Common Factor of 584/788, 1533/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/788, 1533/490

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 584/788,1533/490

Given fractions are 584/788,1533/490

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 584,1533

Greatest Common Factor of Numerators i.e. GCF of 584,1533 is 73 .

LCM of Denominators means LCM of 788,490 as per the given fractions.

LCM of 788,490 is 193060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,1533

GCF of Fractions 584/788,1533/490 is 73/193060

73 584, 1533
8, 21

∴ So the GCF of the given numbers is 73 = 73

Greatest Common Factor of 584,1533 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,1533 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1,3,7,21,73,219,511,1533

Greatest Common Factor

We found the factors 584,1533 . The biggest common factor number is the GCF number.
So the greatest common factor 584,1533 is 73.

Lets's calculate LCM of 788,490

2 788, 490
394, 245

∴ So the LCM of the given numbers is 2 x 394 x 245 = 193060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/193060

Therefore, the GCF of Fractions 584/788,1533/490 is 73/193060

Least Common Multiple of 788,490 with GCF Formula

Least Common Multiple of 788,490 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 788,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,490) = 2

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

GCF(788,490) x common factors =2 x 1 = 2

LCM(788,490) = ( 788 × 490 ) / 2

LCM(788,490) = 386120 / 2

LCM(788,490) = 193060


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 584/788, 1533/490

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 584/788, 1533/490?

Answer: GCF of Numerators as per given numbers 584/788, 1533/490 is

GCF of Numerators i.e. for 584,1533 is 73

LCM of denominators i.e. for 788,490 is 193060.

Thus, GCF of Fractions is 73/193060.Finally, GCF of Fractions for 584/788, 1533/490 is 73/193060.