How to Find GCF of 598/221, 6452/6812?

GCF of 598/221, 6452/6812

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 598/221, 6452/6812 i.e 2/115804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/221, 6452/6812.

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 598/221,6452/6812?

Given fractions are 598/221,6452/6812

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 598/221,6452/6812, numerators are 598,6452

Denominators are 221,6812

The GCF of 598,6452 is 2 .

LCM of 221,6812 is 115804.

The greatest common factor of 598/221,6452/6812 = [GCF of 598,6452]/[LCM of 221,6812]= 2/115804

Therefore, the GCF of 598/221,6452/6812 is 2/115804.

Greatest Common Factor of 598,6452

To find the highest common factor of 598,6452, 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 6452 are 1, 2, 4, 1613, 3226, 6452

The HCF of 598,6452 is 2.

Lets's calculate GCF of 598,6452

Greatest Common Factor (GCF) of 598,6452 By Common Division

2	598, 6452
	299, 3226

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 598,6452 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 6452

1,2,4,1613,3226,6452

Greatest Common Factor

We found the factors 598,6452 . The biggest common factor number is the GCF number.
So the greatest common factor 598,6452 is 2.

Lets's calculate LCM of 221,6812

Lowest Common Multiple of 221,6812 using Common Division

13	221, 6812
	17, 524

∴ So the LCM of the given numbers is 13 x 17 x 524 = 115804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115804

Therefore, the GCF of Fractions 598/221,6452/6812 is 2/115804

Least Common Multiple of 221,6812 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 221,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,6812) = 13

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

GCF(221,6812) x common factors =13 x 1 = 13

LCM(221,6812) = ( 221 × 6812 ) / 13

LCM(221,6812) = 1505452 / 13

LCM(221,6812) = 115804

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FAQs on GCF of Fractions of 598/221, 6452/6812

1. What is the HCF of 598,6452?

The HCF of 598,6452 is 2

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 598/221, 6452/6812?

Answer: GCF of Numerators as per given numbers 598/221, 6452/6812 is

GCF of Numerators i.e. for 598,6452 is 2

LCM of denominators i.e. for 221,6812 is 115804.

Thus, GCF of Fractions is 2/115804.Finally, GCF of Fractions for 598/221, 6452/6812 is 2/115804.