How to Find GCF of 423/944, 800/422?

GCF of 423/944, 800/422

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 423/944, 800/422 i.e 1/199184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/944, 800/422.

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 423/944,800/422?

Given fractions are 423/944,800/422

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 423/944,800/422, numerators are 423,800

Denominators are 944,422

The GCF of 423,800 is 1 .

LCM of 944,422 is 199184.

The greatest common factor of 423/944,800/422 = [GCF of 423,800]/[LCM of 944,422]= 1/199184

Therefore, the GCF of 423/944,800/422 is 1/199184.

Greatest Common Factor of 423,800

To find the highest common factor of 423,800, we have to find the factors of both numbers and list the highest common factor.

The factors of 423 are 1, 3, 9, 47, 141, 423

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

The HCF of 423,800 is 1.

Lets's calculate GCF of 423,800

Greatest Common Factor (GCF) of 423,800 By Common Division

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

Greatest Common Factor of 423,800 By Matching Biggest Common Factor Method

Now, list down the factors of 423

1,3,9,47,141,423

Now, list down the factors of 800

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 423,800 . The biggest common factor number is the GCF number.
So the greatest common factor 423,800 is 1.

Lets's calculate LCM of 944,422

Lowest Common Multiple of 944,422 using Common Division

2	944, 422
	472, 211

∴ So the LCM of the given numbers is 2 x 472 x 211 = 199184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199184

Therefore, the GCF of Fractions 423/944,800/422 is 1/199184

Least Common Multiple of 944,422 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 944,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,422) = 2

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

GCF(944,422) x common factors =2 x 1 = 2

LCM(944,422) = ( 944 × 422 ) / 2

LCM(944,422) = 398368 / 2

LCM(944,422) = 199184

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FAQs on GCF of Fractions of 423/944, 800/422

1. What is the HCF of 423,800?

The HCF of 423,800 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 423/944, 800/422?

Answer: GCF of Numerators as per given numbers 423/944, 800/422 is

GCF of Numerators i.e. for 423,800 is 1

LCM of denominators i.e. for 944,422 is 199184.

Thus, GCF of Fractions is 1/199184.Finally, GCF of Fractions for 423/944, 800/422 is 1/199184.