How to Find GCF of 598/241, 483/104?

GCF of 598/241, 483/104

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 598/241, 483/104 i.e 23/25064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/241, 483/104.

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 598/241,483/104?

Given fractions are 598/241,483/104

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 598/241,483/104, numerators are 598,483

Denominators are 241,104

The GCF of 598,483 is 23 .

LCM of 241,104 is 25064.

The greatest common factor of 598/241,483/104 = [GCF of 598,483]/[LCM of 241,104]= 23/25064

Therefore, the GCF of 598/241,483/104 is 23/25064.

Greatest Common Factor of 598,483

To find the highest common factor of 598,483, 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 483 are 1, 3, 7, 21, 23, 69, 161, 483

The HCF of 598,483 is 23.

Lets's calculate GCF of 598,483

Greatest Common Factor (GCF) of 598,483 By Common Division

23	598, 483
	26, 21

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

Greatest Common Factor of 598,483 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 483

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 598,483 . The biggest common factor number is the GCF number.
So the greatest common factor 598,483 is 23.

Lets's calculate LCM of 241,104

Lowest Common Multiple of 241,104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/25064

Therefore, the GCF of Fractions 598/241,483/104 is 23/25064

Least Common Multiple of 241,104 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 241,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,104) = 1

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

GCF(241,104) x common factors =1 x 1 = 1

LCM(241,104) = ( 241 × 104 ) / 1

LCM(241,104) = 25064 / 1

LCM(241,104) = 25064

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FAQs on GCF of Fractions of 598/241, 483/104

1. What is the HCF of 598,483?

The HCF of 598,483 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 598/241, 483/104?

Answer: GCF of Numerators as per given numbers 598/241, 483/104 is

GCF of Numerators i.e. for 598,483 is 23

LCM of denominators i.e. for 241,104 is 25064.

Thus, GCF of Fractions is 23/25064.Finally, GCF of Fractions for 598/241, 483/104 is 23/25064.