How to Find GCF of 4273/509, 3636/8035?

GCF of 4273/509, 3636/8035

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 4273/509, 3636/8035 i.e 1/4089815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4273/509, 3636/8035.

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 4273/509,3636/8035?

Given fractions are 4273/509,3636/8035

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 4273/509,3636/8035, numerators are 4273,3636

Denominators are 509,8035

The GCF of 4273,3636 is 1 .

LCM of 509,8035 is 4089815.

The greatest common factor of 4273/509,3636/8035 = [GCF of 4273,3636]/[LCM of 509,8035]= 1/4089815

Therefore, the GCF of 4273/509,3636/8035 is 1/4089815.

Greatest Common Factor of 4273,3636

To find the highest common factor of 4273,3636, we have to find the factors of both numbers and list the highest common factor.

The factors of 4273 are 1, 4273

The factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636

The HCF of 4273,3636 is 1.

Lets's calculate GCF of 4273,3636

Greatest Common Factor (GCF) of 4273,3636 By Common Division

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

Greatest Common Factor of 4273,3636 By Matching Biggest Common Factor Method

Now, list down the factors of 4273

1,4273

Now, list down the factors of 3636

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Greatest Common Factor

We found the factors 4273,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 4273,3636 is 1.

Lets's calculate LCM of 509,8035

Lowest Common Multiple of 509,8035 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4089815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4089815

Therefore, the GCF of Fractions 4273/509,3636/8035 is 1/4089815

Least Common Multiple of 509,8035 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 509,8035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,8035) = 1

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

GCF(509,8035) x common factors =1 x 1 = 1

LCM(509,8035) = ( 509 × 8035 ) / 1

LCM(509,8035) = 4089815 / 1

LCM(509,8035) = 4089815

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FAQs on GCF of Fractions of 4273/509, 3636/8035

1. What is the HCF of 4273,3636?

The HCF of 4273,3636 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 4273/509, 3636/8035?

Answer: GCF of Numerators as per given numbers 4273/509, 3636/8035 is

GCF of Numerators i.e. for 4273,3636 is 1

LCM of denominators i.e. for 509,8035 is 4089815.

Thus, GCF of Fractions is 1/4089815.Finally, GCF of Fractions for 4273/509, 3636/8035 is 1/4089815.