How to Find GCF of 5729/629, 8524/3666?

GCF of 5729/629, 8524/3666

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 5729/629, 8524/3666 i.e 1/2305914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5729/629, 8524/3666.

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 5729/629,8524/3666?

Given fractions are 5729/629,8524/3666

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 5729/629,8524/3666, numerators are 5729,8524

Denominators are 629,3666

The GCF of 5729,8524 is 1 .

LCM of 629,3666 is 2305914.

The greatest common factor of 5729/629,8524/3666 = [GCF of 5729,8524]/[LCM of 629,3666]= 1/2305914

Therefore, the GCF of 5729/629,8524/3666 is 1/2305914.

Greatest Common Factor of 5729,8524

To find the highest common factor of 5729,8524, we have to find the factors of both numbers and list the highest common factor.

The factors of 5729 are 1, 17, 337, 5729

The factors of 8524 are 1, 2, 4, 2131, 4262, 8524

The HCF of 5729,8524 is 1.

Lets's calculate GCF of 5729,8524

Greatest Common Factor (GCF) of 5729,8524 By Common Division

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

Greatest Common Factor of 5729,8524 By Matching Biggest Common Factor Method

Now, list down the factors of 5729

1,17,337,5729

Now, list down the factors of 8524

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 5729,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 5729,8524 is 1.

Lets's calculate LCM of 629,3666

Lowest Common Multiple of 629,3666 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2305914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2305914

Therefore, the GCF of Fractions 5729/629,8524/3666 is 1/2305914

Least Common Multiple of 629,3666 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 629,3666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,3666) = 1

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

GCF(629,3666) x common factors =1 x 1 = 1

LCM(629,3666) = ( 629 × 3666 ) / 1

LCM(629,3666) = 2305914 / 1

LCM(629,3666) = 2305914

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FAQs on GCF of Fractions of 5729/629, 8524/3666

1. What is the HCF of 5729,8524?

The HCF of 5729,8524 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 5729/629, 8524/3666?

Answer: GCF of Numerators as per given numbers 5729/629, 8524/3666 is

GCF of Numerators i.e. for 5729,8524 is 1

LCM of denominators i.e. for 629,3666 is 2305914.

Thus, GCF of Fractions is 1/2305914.Finally, GCF of Fractions for 5729/629, 8524/3666 is 1/2305914.