How to Find GCF of 9041/436, 2090/9422?

GCF of 9041/436, 2090/9422

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 9041/436, 2090/9422 i.e 1/2053996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9041/436, 2090/9422.

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 9041/436,2090/9422?

Given fractions are 9041/436,2090/9422

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 9041/436,2090/9422, numerators are 9041,2090

Denominators are 436,9422

The GCF of 9041,2090 is 1 .

LCM of 436,9422 is 2053996.

The greatest common factor of 9041/436,2090/9422 = [GCF of 9041,2090]/[LCM of 436,9422]= 1/2053996

Therefore, the GCF of 9041/436,2090/9422 is 1/2053996.

Greatest Common Factor of 9041,2090

To find the highest common factor of 9041,2090, we have to find the factors of both numbers and list the highest common factor.

The factors of 9041 are 1, 9041

The factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090

The HCF of 9041,2090 is 1.

Lets's calculate GCF of 9041,2090

Greatest Common Factor (GCF) of 9041,2090 By Common Division

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

Greatest Common Factor of 9041,2090 By Matching Biggest Common Factor Method

Now, list down the factors of 9041

1,9041

Now, list down the factors of 2090

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Greatest Common Factor

We found the factors 9041,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 9041,2090 is 1.

Lets's calculate LCM of 436,9422

Lowest Common Multiple of 436,9422 using Common Division

2	436, 9422
	218, 4711

∴ So the LCM of the given numbers is 2 x 218 x 4711 = 2053996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2053996

Therefore, the GCF of Fractions 9041/436,2090/9422 is 1/2053996

Least Common Multiple of 436,9422 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 436,9422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,9422) = 2

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

GCF(436,9422) x common factors =2 x 1 = 2

LCM(436,9422) = ( 436 × 9422 ) / 2

LCM(436,9422) = 4107992 / 2

LCM(436,9422) = 2053996

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FAQs on GCF of Fractions of 9041/436, 2090/9422

1. What is the HCF of 9041,2090?

The HCF of 9041,2090 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 9041/436, 2090/9422?

Answer: GCF of Numerators as per given numbers 9041/436, 2090/9422 is

GCF of Numerators i.e. for 9041,2090 is 1

LCM of denominators i.e. for 436,9422 is 2053996.

Thus, GCF of Fractions is 1/2053996.Finally, GCF of Fractions for 9041/436, 2090/9422 is 1/2053996.