How to Find GCF of 4205/729, 7565/3679?

GCF of 4205/729, 7565/3679

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 4205/729, 7565/3679 i.e 5/2681991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4205/729, 7565/3679.

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 4205/729,7565/3679?

Given fractions are 4205/729,7565/3679

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 4205/729,7565/3679, numerators are 4205,7565

Denominators are 729,3679

The GCF of 4205,7565 is 5 .

LCM of 729,3679 is 2681991.

The greatest common factor of 4205/729,7565/3679 = [GCF of 4205,7565]/[LCM of 729,3679]= 5/2681991

Therefore, the GCF of 4205/729,7565/3679 is 5/2681991.

Greatest Common Factor of 4205,7565

To find the highest common factor of 4205,7565, we have to find the factors of both numbers and list the highest common factor.

The factors of 4205 are 1, 5, 29, 145, 841, 4205

The factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565

The HCF of 4205,7565 is 5.

Lets's calculate GCF of 4205,7565

Greatest Common Factor (GCF) of 4205,7565 By Common Division

5	4205, 7565
	841, 1513

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

Greatest Common Factor of 4205,7565 By Matching Biggest Common Factor Method

Now, list down the factors of 4205

1,5,29,145,841,4205

Now, list down the factors of 7565

1,5,17,85,89,445,1513,7565

Greatest Common Factor

We found the factors 4205,7565 . The biggest common factor number is the GCF number.
So the greatest common factor 4205,7565 is 5.

Lets's calculate LCM of 729,3679

Lowest Common Multiple of 729,3679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2681991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2681991

Therefore, the GCF of Fractions 4205/729,7565/3679 is 5/2681991

Least Common Multiple of 729,3679 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 729,3679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,3679) = 1

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

GCF(729,3679) x common factors =1 x 1 = 1

LCM(729,3679) = ( 729 × 3679 ) / 1

LCM(729,3679) = 2681991 / 1

LCM(729,3679) = 2681991

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FAQs on GCF of Fractions of 4205/729, 7565/3679

1. What is the HCF of 4205,7565?

The HCF of 4205,7565 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 4205/729, 7565/3679?

Answer: GCF of Numerators as per given numbers 4205/729, 7565/3679 is

GCF of Numerators i.e. for 4205,7565 is 5

LCM of denominators i.e. for 729,3679 is 2681991.

Thus, GCF of Fractions is 5/2681991.Finally, GCF of Fractions for 4205/729, 7565/3679 is 5/2681991.