How to Find GCF of 403/833, 273/629?

GCF of 403/833, 273/629

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 403/833, 273/629 i.e 13/30821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/833, 273/629.

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 403/833,273/629?

Given fractions are 403/833,273/629

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 403/833,273/629, numerators are 403,273

Denominators are 833,629

The GCF of 403,273 is 13 .

LCM of 833,629 is 30821.

The greatest common factor of 403/833,273/629 = [GCF of 403,273]/[LCM of 833,629]= 13/30821

Therefore, the GCF of 403/833,273/629 is 13/30821.

Greatest Common Factor of 403,273

To find the highest common factor of 403,273, we have to find the factors of both numbers and list the highest common factor.

The factors of 403 are 1, 13, 31, 403

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The HCF of 403,273 is 13.

Lets's calculate GCF of 403,273

Greatest Common Factor (GCF) of 403,273 By Common Division

13	403, 273
	31, 21

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 403,273 By Matching Biggest Common Factor Method

Now, list down the factors of 403

1,13,31,403

Now, list down the factors of 273

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 403,273 . The biggest common factor number is the GCF number.
So the greatest common factor 403,273 is 13.

Lets's calculate LCM of 833,629

Lowest Common Multiple of 833,629 using Common Division

17	833, 629
	49, 37

∴ So the LCM of the given numbers is 17 x 49 x 37 = 30821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/30821

Therefore, the GCF of Fractions 403/833,273/629 is 13/30821

Least Common Multiple of 833,629 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 833,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(833,629) = 17

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

GCF(833,629) x common factors =17 x 1 = 17

LCM(833,629) = ( 833 × 629 ) / 17

LCM(833,629) = 523957 / 17

LCM(833,629) = 30821

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FAQs on GCF of Fractions of 403/833, 273/629

1. What is the HCF of 403,273?

The HCF of 403,273 is 13

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 403/833, 273/629?

Answer: GCF of Numerators as per given numbers 403/833, 273/629 is

GCF of Numerators i.e. for 403,273 is 13

LCM of denominators i.e. for 833,629 is 30821.

Thus, GCF of Fractions is 13/30821.Finally, GCF of Fractions for 403/833, 273/629 is 13/30821.