How to Find GCF of 43/604, 20/850, 325/823?

GCF of 43/604, 20/850, 325/823

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 43/604, 20/850, 325/823 i.e 1/211264100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/604, 20/850, 325/823.

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 43/604,20/850,325/823?

Given fractions are 43/604,20/850,325/823

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 43/604,20/850,325/823, numerators are 43,20,325

Denominators are 604,850,823

The GCF of 43,20,325 is 1 .

LCM of 604,850,823 is 211264100.

The greatest common factor of 43/604,20/850,325/823 = [GCF of 43,20,325]/[LCM of 604,850,823]= 1/211264100

Therefore, the GCF of 43/604,20/850,325/823 is 1/211264100.

Greatest Common Factor of 43,20,325

To find the highest common factor of 43,20,325, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 325 are 1, 5, 13, 25, 65, 325

The HCF of 43,20,325 is 1.

Lets's calculate GCF of 43,20,325

Greatest Common Factor (GCF) of 43,20,325 By Common Division

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

Greatest Common Factor of 43,20,325 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 325

1,5,13,25,65,325

Greatest Common Factor

We found the factors 43,20,325 . The biggest common factor number is the GCF number.
So the greatest common factor 43,20,325 is 1.

Lets's calculate LCM of 604,850,823

Lowest Common Multiple of 604,850,823 using Common Division

2	604, 850, 823
	302, 425, 823

∴ So the LCM of the given numbers is 2 x 302 x 425 x 823 = 211264100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211264100

Therefore, the GCF of Fractions 43/604,20/850,325/823 is 1/211264100

Least Common Multiple of 604,850,823 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 604,850,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,850,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(604,850,823) x common factors =1 x 2 = 2

LCM(604,850,823) = ( 604 × 850 × 823 ) / 2

LCM(604,850,823) = 422528200 / 2

LCM(604,850,823) = 211264100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 43/604, 20/850, 325/823

1. What is the HCF of 43,20,325?

The HCF of 43,20,325 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 43/604, 20/850, 325/823?

Answer: GCF of Numerators as per given numbers 43/604, 20/850, 325/823 is

GCF of Numerators i.e. for 43,20,325 is 1

LCM of denominators i.e. for 604,850,823 is 211264100.

Thus, GCF of Fractions is 1/211264100.Finally, GCF of Fractions for 43/604, 20/850, 325/823 is 1/211264100.