How to Find GCF of 220/400, 8834/404?

GCF of 220/400, 8834/404

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 220/400, 8834/404 i.e 2/40400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/400, 8834/404.

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 220/400,8834/404?

Given fractions are 220/400,8834/404

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 220/400,8834/404, numerators are 220,8834

Denominators are 400,404

The GCF of 220,8834 is 2 .

LCM of 400,404 is 40400.

The greatest common factor of 220/400,8834/404 = [GCF of 220,8834]/[LCM of 400,404]= 2/40400

Therefore, the GCF of 220/400,8834/404 is 2/40400.

Greatest Common Factor of 220,8834

To find the highest common factor of 220,8834, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834

The HCF of 220,8834 is 2.

Lets's calculate GCF of 220,8834

Greatest Common Factor (GCF) of 220,8834 By Common Division

2	220, 8834
	110, 4417

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

Greatest Common Factor of 220,8834 By Matching Biggest Common Factor Method

Now, list down the factors of 220

1,2,4,5,10,11,20,22,44,55,110,220

Now, list down the factors of 8834

1,2,7,14,631,1262,4417,8834

Greatest Common Factor

We found the factors 220,8834 . The biggest common factor number is the GCF number.
So the greatest common factor 220,8834 is 2.

Lets's calculate LCM of 400,404

Lowest Common Multiple of 400,404 using Common Division

2	400, 404
2	200, 202
	100, 101

∴ So the LCM of the given numbers is 2 x 2 x 100 x 101 = 40400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40400

Therefore, the GCF of Fractions 220/400,8834/404 is 2/40400

Least Common Multiple of 400,404 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 400,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,404) = 4

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

GCF(400,404) x common factors =4 x 1 = 4

LCM(400,404) = ( 400 × 404 ) / 4

LCM(400,404) = 161600 / 4

LCM(400,404) = 40400

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FAQs on GCF of Fractions of 220/400, 8834/404

1. What is the HCF of 220,8834?

The HCF of 220,8834 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 220/400, 8834/404?

Answer: GCF of Numerators as per given numbers 220/400, 8834/404 is

GCF of Numerators i.e. for 220,8834 is 2

LCM of denominators i.e. for 400,404 is 40400.

Thus, GCF of Fractions is 2/40400.Finally, GCF of Fractions for 220/400, 8834/404 is 2/40400.