How to Find GCF of 598/285, 621/722?

GCF of 598/285, 621/722

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 598/285, 621/722 i.e 23/10830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/285, 621/722.

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 598/285,621/722?

Given fractions are 598/285,621/722

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 598/285,621/722, numerators are 598,621

Denominators are 285,722

The GCF of 598,621 is 23 .

LCM of 285,722 is 10830.

The greatest common factor of 598/285,621/722 = [GCF of 598,621]/[LCM of 285,722]= 23/10830

Therefore, the GCF of 598/285,621/722 is 23/10830.

Greatest Common Factor of 598,621

To find the highest common factor of 598,621, we have to find the factors of both numbers and list the highest common factor.

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The HCF of 598,621 is 23.

Lets's calculate GCF of 598,621

Greatest Common Factor (GCF) of 598,621 By Common Division

23	598, 621
	26, 27

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 598,621 By Matching Biggest Common Factor Method

Now, list down the factors of 598

1,2,13,23,26,46,299,598

Now, list down the factors of 621

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 598,621 . The biggest common factor number is the GCF number.
So the greatest common factor 598,621 is 23.

Lets's calculate LCM of 285,722

Lowest Common Multiple of 285,722 using Common Division

19	285, 722
	15, 38

∴ So the LCM of the given numbers is 19 x 15 x 38 = 10830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/10830

Therefore, the GCF of Fractions 598/285,621/722 is 23/10830

Least Common Multiple of 285,722 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 285,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,722) = 19

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

GCF(285,722) x common factors =19 x 1 = 19

LCM(285,722) = ( 285 × 722 ) / 19

LCM(285,722) = 205770 / 19

LCM(285,722) = 10830

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FAQs on GCF of Fractions of 598/285, 621/722

1. What is the HCF of 598,621?

The HCF of 598,621 is 23

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 598/285, 621/722?

Answer: GCF of Numerators as per given numbers 598/285, 621/722 is

GCF of Numerators i.e. for 598,621 is 23

LCM of denominators i.e. for 285,722 is 10830.

Thus, GCF of Fractions is 23/10830.Finally, GCF of Fractions for 598/285, 621/722 is 23/10830.