How to Find GCF of 582/603, 7214/1813?

GCF of 582/603, 7214/1813

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 582/603, 7214/1813 i.e 2/1093239 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/603, 7214/1813.

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 582/603,7214/1813?

Given fractions are 582/603,7214/1813

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 582/603,7214/1813, numerators are 582,7214

Denominators are 603,1813

The GCF of 582,7214 is 2 .

LCM of 603,1813 is 1093239.

The greatest common factor of 582/603,7214/1813 = [GCF of 582,7214]/[LCM of 603,1813]= 2/1093239

Therefore, the GCF of 582/603,7214/1813 is 2/1093239.

Greatest Common Factor of 582,7214

To find the highest common factor of 582,7214, we have to find the factors of both numbers and list the highest common factor.

The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582

The factors of 7214 are 1, 2, 3607, 7214

The HCF of 582,7214 is 2.

Lets's calculate GCF of 582,7214

Greatest Common Factor (GCF) of 582,7214 By Common Division

2	582, 7214
	291, 3607

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

Greatest Common Factor of 582,7214 By Matching Biggest Common Factor Method

Now, list down the factors of 582

1,2,3,6,97,194,291,582

Now, list down the factors of 7214

1,2,3607,7214

Greatest Common Factor

We found the factors 582,7214 . The biggest common factor number is the GCF number.
So the greatest common factor 582,7214 is 2.

Lets's calculate LCM of 603,1813

Lowest Common Multiple of 603,1813 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1093239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1093239

Therefore, the GCF of Fractions 582/603,7214/1813 is 2/1093239

Least Common Multiple of 603,1813 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 603,1813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,1813) = 1

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

GCF(603,1813) x common factors =1 x 1 = 1

LCM(603,1813) = ( 603 × 1813 ) / 1

LCM(603,1813) = 1093239 / 1

LCM(603,1813) = 1093239

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FAQs on GCF of Fractions of 582/603, 7214/1813

1. What is the HCF of 582,7214?

The HCF of 582,7214 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 582/603, 7214/1813?

Answer: GCF of Numerators as per given numbers 582/603, 7214/1813 is

GCF of Numerators i.e. for 582,7214 is 2

LCM of denominators i.e. for 603,1813 is 1093239.

Thus, GCF of Fractions is 2/1093239.Finally, GCF of Fractions for 582/603, 7214/1813 is 2/1093239.