How to Find GCF of 9413/590, 8233/6628?

GCF of 9413/590, 8233/6628

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 9413/590, 8233/6628 i.e 1/1955260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9413/590, 8233/6628.

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 9413/590,8233/6628?

Given fractions are 9413/590,8233/6628

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 9413/590,8233/6628, numerators are 9413,8233

Denominators are 590,6628

The GCF of 9413,8233 is 1 .

LCM of 590,6628 is 1955260.

The greatest common factor of 9413/590,8233/6628 = [GCF of 9413,8233]/[LCM of 590,6628]= 1/1955260

Therefore, the GCF of 9413/590,8233/6628 is 1/1955260.

Greatest Common Factor of 9413,8233

To find the highest common factor of 9413,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 9413 are 1, 9413

The factors of 8233 are 1, 8233

The HCF of 9413,8233 is 1.

Lets's calculate GCF of 9413,8233

Greatest Common Factor (GCF) of 9413,8233 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9413,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 9413

1,9413

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 9413,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 9413,8233 is 1.

Lets's calculate LCM of 590,6628

Lowest Common Multiple of 590,6628 using Common Division

2	590, 6628
	295, 3314

∴ So the LCM of the given numbers is 2 x 295 x 3314 = 1955260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1955260

Therefore, the GCF of Fractions 9413/590,8233/6628 is 1/1955260

Least Common Multiple of 590,6628 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 590,6628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,6628) = 2

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

GCF(590,6628) x common factors =2 x 1 = 2

LCM(590,6628) = ( 590 × 6628 ) / 2

LCM(590,6628) = 3910520 / 2

LCM(590,6628) = 1955260

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FAQs on GCF of Fractions of 9413/590, 8233/6628

1. What is the HCF of 9413,8233?

The HCF of 9413,8233 is 1

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 9413/590, 8233/6628?

Answer: GCF of Numerators as per given numbers 9413/590, 8233/6628 is

GCF of Numerators i.e. for 9413,8233 is 1

LCM of denominators i.e. for 590,6628 is 1955260.

Thus, GCF of Fractions is 1/1955260.Finally, GCF of Fractions for 9413/590, 8233/6628 is 1/1955260.