Highest Common Factor of 808, 822, 155 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 808, 822, 155 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 808, 822, 155 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 808, 822, 155 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 808, 822, 155 is 1.

HCF(808, 822, 155) = 1

HCF of 808, 822, 155 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 808, 822, 155 is 1.

Highest Common Factor of 808,822,155 using Euclid's algorithm

Highest Common Factor of 808,822,155 is 1

Step 1: Since 822 > 808, we apply the division lemma to 822 and 808, to get

822 = 808 x 1 + 14

Step 2: Since the reminder 808 ≠ 0, we apply division lemma to 14 and 808, to get

808 = 14 x 57 + 10

Step 3: We consider the new divisor 14 and the new remainder 10, and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 808 and 822 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(808,14) = HCF(822,808) .

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

Step 1: Since 155 > 2, we apply the division lemma to 155 and 2, to get

155 = 2 x 77 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 155 is 1

Notice that 1 = HCF(2,1) = HCF(155,2) .

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Frequently Asked Questions on HCF of 808, 822, 155 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 808, 822, 155?

Answer: HCF of 808, 822, 155 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 808, 822, 155 using Euclid's Algorithm?

Answer: For arbitrary numbers 808, 822, 155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.