How to Find GCF of 864/253, 600/929?

GCF of 864/253, 600/929

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 864/253, 600/929 i.e 24/235037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 864/253, 600/929.

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 864/253,600/929?

Given fractions are 864/253,600/929

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 864/253,600/929, numerators are 864,600

Denominators are 253,929

The GCF of 864,600 is 24 .

LCM of 253,929 is 235037.

The greatest common factor of 864/253,600/929 = [GCF of 864,600]/[LCM of 253,929]= 24/235037

Therefore, the GCF of 864/253,600/929 is 24/235037.

Greatest Common Factor of 864,600

To find the highest common factor of 864,600, we have to find the factors of both numbers and list the highest common factor.

The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 HCF of 864,600 is 24.

Lets's calculate GCF of 864,600

Greatest Common Factor (GCF) of 864,600 By Common Division

2	864, 600
2	432, 300
2	216, 150
3	108, 75
	36, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 864,600 By Matching Biggest Common Factor Method

Now, list down the factors of 864

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

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

Greatest Common Factor

We found the factors 864,600 . The biggest common factor number is the GCF number.
So the greatest common factor 864,600 is 24.

Lets's calculate LCM of 253,929

Lowest Common Multiple of 253,929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 235037

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/235037

Therefore, the GCF of Fractions 864/253,600/929 is 24/235037

Least Common Multiple of 253,929 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 253,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,929) = 1

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

GCF(253,929) x common factors =1 x 1 = 1

LCM(253,929) = ( 253 × 929 ) / 1

LCM(253,929) = 235037 / 1

LCM(253,929) = 235037

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FAQs on GCF of Fractions of 864/253, 600/929

1. What is the HCF of 864,600?

The HCF of 864,600 is 24

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 864/253, 600/929?

Answer: GCF of Numerators as per given numbers 864/253, 600/929 is

GCF of Numerators i.e. for 864,600 is 24

LCM of denominators i.e. for 253,929 is 235037.

Thus, GCF of Fractions is 24/235037.Finally, GCF of Fractions for 864/253, 600/929 is 24/235037.