How to Find GCF of 600/24, 823/96, 451/37?

GCF of 600/24, 823/96, 451/37

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 600/24, 823/96, 451/37 i.e 1/3552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/24, 823/96, 451/37.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 600/24,823/96,451/37?

Given fractions are 600/24,823/96,451/37

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 600/24,823/96,451/37, numerators are 600,823,451

Denominators are 24,96,37

The GCF of 600,823,451 is 1 .

LCM of 24,96,37 is 3552.

The greatest common factor of 600/24,823/96,451/37 = [GCF of 600,823,451]/[LCM of 24,96,37]= 1/3552

Therefore, the GCF of 600/24,823/96,451/37 is 1/3552.

Greatest Common Factor of 600,823,451

To find the highest common factor of 600,823,451, we have to find the factors of both numbers and list the highest common factor.

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The factors of 823 are 1, 823

The factors of 451 are 1, 11, 41, 451

The HCF of 600,823,451 is 1.

Lets's calculate GCF of 600,823,451

Greatest Common Factor (GCF) of 600,823,451 By Common Division

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

Greatest Common Factor of 600,823,451 By Matching Biggest Common Factor Method

Now, list down the factors of 600

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Now, list down the factors of 823

1,823

Now, list down the factors of 451

1,11,41,451

Greatest Common Factor

We found the factors 600,823,451 . The biggest common factor number is the GCF number.
So the greatest common factor 600,823,451 is 1.

Lets's calculate LCM of 24,96,37

Lowest Common Multiple of 24,96,37 using Common Division

2	24, 96, 37
2	12, 48, 37
2	6, 24, 37
3	3, 12, 37
	1, 4, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 37 = 3552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3552

Therefore, the GCF of Fractions 600/24,823/96,451/37 is 1/3552

Least Common Multiple of 24,96,37 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,96,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,96,37) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,96,37) x common factors =1 x 24 = 24

LCM(24,96,37) = ( 24 × 96 × 37 ) / 24

LCM(24,96,37) = 85248 / 24

LCM(24,96,37) = 3552

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 600/24, 823/96, 451/37

1. What is the HCF of 600,823,451?

The HCF of 600,823,451 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 600/24, 823/96, 451/37?

Answer: GCF of Numerators as per given numbers 600/24, 823/96, 451/37 is

GCF of Numerators i.e. for 600,823,451 is 1

LCM of denominators i.e. for 24,96,37 is 3552.

Thus, GCF of Fractions is 1/3552.Finally, GCF of Fractions for 600/24, 823/96, 451/37 is 1/3552.