How to Find GCF of 872/604, 324/816?

GCF of 872/604, 324/816

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 872/604, 324/816 i.e 4/123216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/604, 324/816.

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 872/604,324/816?

Given fractions are 872/604,324/816

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 872/604,324/816, numerators are 872,324

Denominators are 604,816

The GCF of 872,324 is 4 .

LCM of 604,816 is 123216.

The greatest common factor of 872/604,324/816 = [GCF of 872,324]/[LCM of 604,816]= 4/123216

Therefore, the GCF of 872/604,324/816 is 4/123216.

Greatest Common Factor of 872,324

To find the highest common factor of 872,324, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

The HCF of 872,324 is 4.

Lets's calculate GCF of 872,324

Greatest Common Factor (GCF) of 872,324 By Common Division

2	872, 324
2	436, 162
	218, 81

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 872,324 By Matching Biggest Common Factor Method

Now, list down the factors of 872

1,2,4,8,109,218,436,872

Now, list down the factors of 324

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 872,324 . The biggest common factor number is the GCF number.
So the greatest common factor 872,324 is 4.

Lets's calculate LCM of 604,816

Lowest Common Multiple of 604,816 using Common Division

2	604, 816
2	302, 408
	151, 204

∴ So the LCM of the given numbers is 2 x 2 x 151 x 204 = 123216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/123216

Therefore, the GCF of Fractions 872/604,324/816 is 4/123216

Least Common Multiple of 604,816 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 604,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,816) = 4

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

GCF(604,816) x common factors =4 x 1 = 4

LCM(604,816) = ( 604 × 816 ) / 4

LCM(604,816) = 492864 / 4

LCM(604,816) = 123216

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FAQs on GCF of Fractions of 872/604, 324/816

1. What is the HCF of 872,324?

The HCF of 872,324 is 4

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 872/604, 324/816?

Answer: GCF of Numerators as per given numbers 872/604, 324/816 is

GCF of Numerators i.e. for 872,324 is 4

LCM of denominators i.e. for 604,816 is 123216.

Thus, GCF of Fractions is 4/123216.Finally, GCF of Fractions for 872/604, 324/816 is 4/123216.