How to Find GCF of 440/22, 540/898?

GCF of 440/22, 540/898

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 440/22, 540/898 i.e 20/9878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/22, 540/898.

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 440/22,540/898?

Given fractions are 440/22,540/898

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 440/22,540/898, numerators are 440,540

Denominators are 22,898

The GCF of 440,540 is 20 .

LCM of 22,898 is 9878.

The greatest common factor of 440/22,540/898 = [GCF of 440,540]/[LCM of 22,898]= 20/9878

Therefore, the GCF of 440/22,540/898 is 20/9878.

Greatest Common Factor of 440,540

To find the highest common factor of 440,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 440,540 is 20.

Lets's calculate GCF of 440,540

Greatest Common Factor (GCF) of 440,540 By Common Division

2	440, 540
2	220, 270
5	110, 135
	22, 27

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 440,540 By Matching Biggest Common Factor Method

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 440,540 . The biggest common factor number is the GCF number.
So the greatest common factor 440,540 is 20.

Lets's calculate LCM of 22,898

Lowest Common Multiple of 22,898 using Common Division

2	22, 898
	11, 449

∴ So the LCM of the given numbers is 2 x 11 x 449 = 9878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/9878

Therefore, the GCF of Fractions 440/22,540/898 is 20/9878

Least Common Multiple of 22,898 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 22,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,898) = 2

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

GCF(22,898) x common factors =2 x 1 = 2

LCM(22,898) = ( 22 × 898 ) / 2

LCM(22,898) = 19756 / 2

LCM(22,898) = 9878

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FAQs on GCF of Fractions of 440/22, 540/898

1. What is the HCF of 440,540?

The HCF of 440,540 is 20

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 440/22, 540/898?

Answer: GCF of Numerators as per given numbers 440/22, 540/898 is

GCF of Numerators i.e. for 440,540 is 20

LCM of denominators i.e. for 22,898 is 9878.

Thus, GCF of Fractions is 20/9878.Finally, GCF of Fractions for 440/22, 540/898 is 20/9878.