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GCF of 5849/973, 3629/6468

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 5849/973, 3629/6468 i.e 1/899052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5849/973, 3629/6468.

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 5849/973,3629/6468?

Given fractions are 5849/973,3629/6468

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 5849/973,3629/6468, numerators are 5849,3629

Denominators are 973,6468

The GCF of 5849,3629 is 1 .

LCM of 973,6468 is 899052.

The greatest common factor of 5849/973,3629/6468 = [GCF of 5849,3629]/[LCM of 973,6468]= 1/899052

Therefore, the GCF of 5849/973,3629/6468 is 1/899052.

Greatest Common Factor of 5849,3629

To find the highest common factor of 5849,3629, we have to find the factors of both numbers and list the highest common factor.

The factors of 5849 are 1, 5849

The factors of 3629 are 1, 19, 191, 3629

The HCF of 5849,3629 is 1.

Lets's calculate GCF of 5849,3629

Greatest Common Factor (GCF) of 5849,3629 By Common Division

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

Greatest Common Factor of 5849,3629 By Matching Biggest Common Factor Method

Greatest Common Factor of 5849,3629 By Matching Biggest Common Factor Method

Now, list down the factors of 5849

:

1,5849

Now, list down the factors of 3629

:

1,19,191,3629

Greatest Common Factor

We found the factors 5849,3629 . The biggest common factor number is the GCF number.
So the greatest common factor 5849,3629 is 1.

Lets's calculate LCM of 973,6468

Lowest Common Multiple of 973,6468 using Common Division

7 973, 6468
139, 924

∴ So the LCM of the given numbers is 7 x 139 x 924 = 899052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899052

Therefore, the GCF of Fractions 5849/973,3629/6468 is 1/899052

Least Common Multiple of 973,6468 with GCF Formula

Least Common Multiple of 973,6468 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 973,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,6468) = 7

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

GCF(973,6468) x common factors =7 x 1 = 7

LCM(973,6468) = ( 973 × 6468 ) / 7

LCM(973,6468) = 6293364 / 7

LCM(973,6468) = 899052


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FAQs on GCF of Fractions of 5849/973, 3629/6468

1. What is the HCF of 5849,3629?

The HCF of 5849,3629 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 5849/973, 3629/6468?

Answer: GCF of Numerators as per given numbers 5849/973, 3629/6468 is

GCF of Numerators i.e. for 5849,3629 is 1

LCM of denominators i.e. for 973,6468 is 899052.

Thus, GCF of Fractions is 1/899052.Finally, GCF of Fractions for 5849/973, 3629/6468 is 1/899052.