Highest Common Factor of 822, 581, 201 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 822, 581, 201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 822, 581, 201 is 1 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 822, 581, 201 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 822, 581, 201 is 1.

HCF(822, 581, 201) = 1

HCF of 822, 581, 201 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 822, 581, 201 is 1.

Highest Common Factor of 822,581,201 using Euclid's algorithm

Highest Common Factor of 822,581,201 is 1

Step 1: Since 822 > 581, we apply the division lemma to 822 and 581, to get

822 = 581 x 1 + 241

Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 241 and 581, to get

581 = 241 x 2 + 99

Step 3: We consider the new divisor 241 and the new remainder 99, and apply the division lemma to get

241 = 99 x 2 + 43

We consider the new divisor 99 and the new remainder 43,and apply the division lemma to get

99 = 43 x 2 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 822 and 581 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(99,43) = HCF(241,99) = HCF(581,241) = HCF(822,581) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 201 > 1, we apply the division lemma to 201 and 1, to get

201 = 1 x 201 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 201 is 1

Notice that 1 = HCF(201,1) .

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Frequently Asked Questions on HCF of 822, 581, 201 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 822, 581, 201?

Answer: HCF of 822, 581, 201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 822, 581, 201 using Euclid's Algorithm?

Answer: For arbitrary numbers 822, 581, 201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.