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GCF of 394/474, 900/468

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 394/474, 900/468 i.e 2/36972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/474, 900/468.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 394/474,900/468?

Given fractions are 394/474,900/468

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 394/474,900/468, numerators are 394,900

Denominators are 474,468

The GCF of 394,900 is 2 .

LCM of 474,468 is 36972.

The greatest common factor of 394/474,900/468 = [GCF of 394,900]/[LCM of 474,468]= 2/36972

Therefore, the GCF of 394/474,900/468 is 2/36972.

Greatest Common Factor of 394,900

To find the highest common factor of 394,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 394 are 1, 2, 197, 394

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 394,900 is 2.

Lets's calculate GCF of 394,900

Greatest Common Factor (GCF) of 394,900 By Common Division

2 394, 900
197, 450

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

Greatest Common Factor of 394,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,900 By Matching Biggest Common Factor Method

Now, list down the factors of 394

:

1,2,197,394

Now, list down the factors of 900

:

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 394,900 . The biggest common factor number is the GCF number.
So the greatest common factor 394,900 is 2.


Lets's calculate LCM of 474,468

Lowest Common Multiple of 474,468 using Common Division

2 474, 468
3 237, 234
79, 78

∴ So the LCM of the given numbers is 2 x 3 x 79 x 78 = 36972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36972

Therefore, the GCF of Fractions 394/474,900/468 is 2/36972

Least Common Multiple of 474,468 with GCF Formula

Least Common Multiple of 474,468 with GCF Formula

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

We need to calculate greatest common factor of 474,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,468) = 6

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

GCF(474,468) x common factors =6 x 1 = 6

LCM(474,468) = ( 474 × 468 ) / 6

LCM(474,468) = 221832 / 6

LCM(474,468) = 36972


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 394/474, 900/468

1. What is the HCF of 394,900?

The HCF of 394,900 is 2

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 394/474, 900/468?

Answer: GCF of Numerators as per given numbers 394/474, 900/468 is

GCF of Numerators i.e. for 394,900 is 2

LCM of denominators i.e. for 474,468 is 36972.

Thus, GCF of Fractions is 2/36972.Finally, GCF of Fractions for 394/474, 900/468 is 2/36972.