How to Find GCF of 598/818, 520/258?

GCF of 598/818, 520/258

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 598/818, 520/258 i.e 26/105522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/818, 520/258.

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 598/818,520/258?

Given fractions are 598/818,520/258

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 598/818,520/258, numerators are 598,520

Denominators are 818,258

The GCF of 598,520 is 26 .

LCM of 818,258 is 105522.

The greatest common factor of 598/818,520/258 = [GCF of 598,520]/[LCM of 818,258]= 26/105522

Therefore, the GCF of 598/818,520/258 is 26/105522.

Greatest Common Factor of 598,520

To find the highest common factor of 598,520, 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 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 598,520 is 26.

Lets's calculate GCF of 598,520

Greatest Common Factor (GCF) of 598,520 By Common Division

2	598, 520
13	299, 260
	23, 20

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 598,520 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 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 598,520 . The biggest common factor number is the GCF number.
So the greatest common factor 598,520 is 26.

Lets's calculate LCM of 818,258

Lowest Common Multiple of 818,258 using Common Division

2	818, 258
	409, 129

∴ So the LCM of the given numbers is 2 x 409 x 129 = 105522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/105522

Therefore, the GCF of Fractions 598/818,520/258 is 26/105522

Least Common Multiple of 818,258 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 818,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,258) = 2

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

GCF(818,258) x common factors =2 x 1 = 2

LCM(818,258) = ( 818 × 258 ) / 2

LCM(818,258) = 211044 / 2

LCM(818,258) = 105522

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 598/818, 520/258

1. What is the HCF of 598,520?

The HCF of 598,520 is 26

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 598/818, 520/258?

Answer: GCF of Numerators as per given numbers 598/818, 520/258 is

GCF of Numerators i.e. for 598,520 is 26

LCM of denominators i.e. for 818,258 is 105522.

Thus, GCF of Fractions is 26/105522.Finally, GCF of Fractions for 598/818, 520/258 is 26/105522.