Greatest Common Factor of 5/24, 63/96, 99/747, 837/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/24, 63/96, 99/747, 837/580

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 5/24,63/96,99/747,837/580

Given fractions are 5/24,63/96,99/747,837/580

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 5,63,99,837

Greatest Common Factor of Numerators i.e. GCF of 5,63,99,837 is 1 .

LCM of Denominators means LCM of 24,96,747,580 as per the given fractions.

LCM of 24,96,747,580 is 3466080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,63,99,837

GCF of Fractions 5/24,63/96,99/747,837/580 is 1/3466080

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

Greatest Common Factor of 5,63,99,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,63,99,837 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 5,63,99,837 . The biggest common factor number is the GCF number.
So the greatest common factor 5,63,99,837 is 1.

Lets's calculate LCM of 24,96,747,580

2 24, 96, 747, 580
2 12, 48, 747, 290
2 6, 24, 747, 145
3 3, 12, 747, 145
1, 4, 249, 145

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 249 x 145 = 3466080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3466080

Therefore, the GCF of Fractions 5/24,63/96,99/747,837/580 is 1/3466080

Least Common Multiple of 24,96,747,580 with GCF Formula

Least Common Multiple of 24,96,747,580 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 24,96,747,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,96,747,580) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(24,96,747,580) x common factors =1 x 288 = 288

LCM(24,96,747,580) = ( 24 × 96 × 747 × 580 ) / 288

LCM(24,96,747,580) = 998231040 / 288

LCM(24,96,747,580) = 3466080


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 5/24, 63/96, 99/747, 837/580

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 5/24, 63/96, 99/747, 837/580?

Answer: GCF of Numerators as per given numbers 5/24, 63/96, 99/747, 837/580 is

GCF of Numerators i.e. for 5,63,99,837 is 1

LCM of denominators i.e. for 24,96,747,580 is 3466080.

Thus, GCF of Fractions is 1/3466080.Finally, GCF of Fractions for 5/24, 63/96, 99/747, 837/580 is 1/3466080.