Highest Common Factor of 445, 220 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 445, 220 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 445, 220 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 445, 220 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 445, 220 is 5.

HCF(445, 220) = 5

HCF of 445, 220 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 445, 220 is 5.

Highest Common Factor of 445,220 using Euclid's algorithm

Highest Common Factor of 445,220 is 5

Step 1: Since 445 > 220, we apply the division lemma to 445 and 220, to get

445 = 220 x 2 + 5

Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 5 and 220, to get

220 = 5 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 445 and 220 is 5

Notice that 5 = HCF(220,5) = HCF(445,220) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 445, 220 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 445, 220?

Answer: HCF of 445, 220 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 445, 220 using Euclid's Algorithm?

Answer: For arbitrary numbers 445, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.