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GCF of 609/802, 4905/216

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 609/802, 4905/216 i.e 3/86616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 609/802, 4905/216.

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 609/802,4905/216?

Given fractions are 609/802,4905/216

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 609/802,4905/216, numerators are 609,4905

Denominators are 802,216

The GCF of 609,4905 is 3 .

LCM of 802,216 is 86616.

The greatest common factor of 609/802,4905/216 = [GCF of 609,4905]/[LCM of 802,216]= 3/86616

Therefore, the GCF of 609/802,4905/216 is 3/86616.

Greatest Common Factor of 609,4905

To find the highest common factor of 609,4905, we have to find the factors of both numbers and list the highest common factor.

The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609

The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905

The HCF of 609,4905 is 3.

Lets's calculate GCF of 609,4905

Greatest Common Factor (GCF) of 609,4905 By Common Division

3 609, 4905
203, 1635

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 609,4905 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,4905 By Matching Biggest Common Factor Method

Now, list down the factors of 609

:

1,3,7,21,29,87,203,609

Now, list down the factors of 4905

:

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors 609,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 609,4905 is 3.

Lets's calculate LCM of 802,216

Lowest Common Multiple of 802,216 using Common Division

2 802, 216
401, 108

∴ So the LCM of the given numbers is 2 x 401 x 108 = 86616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86616

Therefore, the GCF of Fractions 609/802,4905/216 is 3/86616

Least Common Multiple of 802,216 with GCF Formula

Least Common Multiple of 802,216 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 802,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,216) = 2

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

GCF(802,216) x common factors =2 x 1 = 2

LCM(802,216) = ( 802 × 216 ) / 2

LCM(802,216) = 173232 / 2

LCM(802,216) = 86616


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FAQs on GCF of Fractions of 609/802, 4905/216

1. What is the HCF of 609,4905?

The HCF of 609,4905 is 3

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 609/802, 4905/216?

Answer: GCF of Numerators as per given numbers 609/802, 4905/216 is

GCF of Numerators i.e. for 609,4905 is 3

LCM of denominators i.e. for 802,216 is 86616.

Thus, GCF of Fractions is 3/86616.Finally, GCF of Fractions for 609/802, 4905/216 is 3/86616.