How to Find GCF of 900/437, 415/208?

GCF of 900/437, 415/208

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 900/437, 415/208 i.e 5/90896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/437, 415/208.

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 900/437,415/208?

Given fractions are 900/437,415/208

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 900/437,415/208, numerators are 900,415

Denominators are 437,208

The GCF of 900,415 is 5 .

LCM of 437,208 is 90896.

The greatest common factor of 900/437,415/208 = [GCF of 900,415]/[LCM of 437,208]= 5/90896

Therefore, the GCF of 900/437,415/208 is 5/90896.

Greatest Common Factor of 900,415

To find the highest common factor of 900,415, we have to find the factors of both numbers and list the highest common factor.

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 factors of 415 are 1, 5, 83, 415

The HCF of 900,415 is 5.

Lets's calculate GCF of 900,415

Greatest Common Factor (GCF) of 900,415 By Common Division

5	900, 415
	180, 83

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 900,415 By Matching Biggest Common Factor Method

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

Now, list down the factors of 415

1,5,83,415

Greatest Common Factor

We found the factors 900,415 . The biggest common factor number is the GCF number.
So the greatest common factor 900,415 is 5.

Lets's calculate LCM of 437,208

Lowest Common Multiple of 437,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 90896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/90896

Therefore, the GCF of Fractions 900/437,415/208 is 5/90896

Least Common Multiple of 437,208 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 437,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,208) = 1

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

GCF(437,208) x common factors =1 x 1 = 1

LCM(437,208) = ( 437 × 208 ) / 1

LCM(437,208) = 90896 / 1

LCM(437,208) = 90896

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FAQs on GCF of Fractions of 900/437, 415/208

1. What is the HCF of 900,415?

The HCF of 900,415 is 5

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 900/437, 415/208?

Answer: GCF of Numerators as per given numbers 900/437, 415/208 is

GCF of Numerators i.e. for 900,415 is 5

LCM of denominators i.e. for 437,208 is 90896.

Thus, GCF of Fractions is 5/90896.Finally, GCF of Fractions for 900/437, 415/208 is 5/90896.