How to Find GCF of 598/607, 8229/8352?

GCF of 598/607, 8229/8352

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 598/607, 8229/8352 i.e 13/5069664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/607, 8229/8352.

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 598/607,8229/8352?

Given fractions are 598/607,8229/8352

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 598/607,8229/8352, numerators are 598,8229

Denominators are 607,8352

The GCF of 598,8229 is 13 .

LCM of 607,8352 is 5069664.

The greatest common factor of 598/607,8229/8352 = [GCF of 598,8229]/[LCM of 607,8352]= 13/5069664

Therefore, the GCF of 598/607,8229/8352 is 13/5069664.

Greatest Common Factor of 598,8229

To find the highest common factor of 598,8229, 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 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229

The HCF of 598,8229 is 13.

Lets's calculate GCF of 598,8229

Greatest Common Factor (GCF) of 598,8229 By Common Division

13	598, 8229
	46, 633

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

Greatest Common Factor of 598,8229 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 8229

1,3,13,39,211,633,2743,8229

Greatest Common Factor

We found the factors 598,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 598,8229 is 13.

Lets's calculate LCM of 607,8352

Lowest Common Multiple of 607,8352 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5069664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5069664

Therefore, the GCF of Fractions 598/607,8229/8352 is 13/5069664

Least Common Multiple of 607,8352 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 607,8352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,8352) = 1

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

GCF(607,8352) x common factors =1 x 1 = 1

LCM(607,8352) = ( 607 × 8352 ) / 1

LCM(607,8352) = 5069664 / 1

LCM(607,8352) = 5069664

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FAQs on GCF of Fractions of 598/607, 8229/8352

1. What is the HCF of 598,8229?

The HCF of 598,8229 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 598/607, 8229/8352?

Answer: GCF of Numerators as per given numbers 598/607, 8229/8352 is

GCF of Numerators i.e. for 598,8229 is 13

LCM of denominators i.e. for 607,8352 is 5069664.

Thus, GCF of Fractions is 13/5069664.Finally, GCF of Fractions for 598/607, 8229/8352 is 13/5069664.