How to Find GCF of 9061/206, 5613/2648?

GCF of 9061/206, 5613/2648

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 9061/206, 5613/2648 i.e 1/272744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9061/206, 5613/2648.

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 9061/206,5613/2648?

Given fractions are 9061/206,5613/2648

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 9061/206,5613/2648, numerators are 9061,5613

Denominators are 206,2648

The GCF of 9061,5613 is 1 .

LCM of 206,2648 is 272744.

The greatest common factor of 9061/206,5613/2648 = [GCF of 9061,5613]/[LCM of 206,2648]= 1/272744

Therefore, the GCF of 9061/206,5613/2648 is 1/272744.

Greatest Common Factor of 9061,5613

To find the highest common factor of 9061,5613, we have to find the factors of both numbers and list the highest common factor.

The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061

The factors of 5613 are 1, 3, 1871, 5613

The HCF of 9061,5613 is 1.

Lets's calculate GCF of 9061,5613

Greatest Common Factor (GCF) of 9061,5613 By Common Division

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

Greatest Common Factor of 9061,5613 By Matching Biggest Common Factor Method

Now, list down the factors of 9061

1,13,17,41,221,533,697,9061

Now, list down the factors of 5613

1,3,1871,5613

Greatest Common Factor

We found the factors 9061,5613 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,5613 is 1.

Lets's calculate LCM of 206,2648

Lowest Common Multiple of 206,2648 using Common Division

2	206, 2648
	103, 1324

∴ So the LCM of the given numbers is 2 x 103 x 1324 = 272744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272744

Therefore, the GCF of Fractions 9061/206,5613/2648 is 1/272744

Least Common Multiple of 206,2648 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 206,2648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,2648) = 2

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

GCF(206,2648) x common factors =2 x 1 = 2

LCM(206,2648) = ( 206 × 2648 ) / 2

LCM(206,2648) = 545488 / 2

LCM(206,2648) = 272744

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FAQs on GCF of Fractions of 9061/206, 5613/2648

1. What is the HCF of 9061,5613?

The HCF of 9061,5613 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 9061/206, 5613/2648?

Answer: GCF of Numerators as per given numbers 9061/206, 5613/2648 is

GCF of Numerators i.e. for 9061,5613 is 1

LCM of denominators i.e. for 206,2648 is 272744.

Thus, GCF of Fractions is 1/272744.Finally, GCF of Fractions for 9061/206, 5613/2648 is 1/272744.