Highest Common Factor of 885, 533, 821 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 885, 533, 821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 533, 821 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 885, 533, 821 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 885, 533, 821 is 1.

HCF(885, 533, 821) = 1

HCF of 885, 533, 821 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 885, 533, 821 is 1.

Highest Common Factor of 885,533,821 using Euclid's algorithm

Highest Common Factor of 885,533,821 is 1

Step 1: Since 885 > 533, we apply the division lemma to 885 and 533, to get

885 = 533 x 1 + 352

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 352 and 533, to get

533 = 352 x 1 + 181

Step 3: We consider the new divisor 352 and the new remainder 181, and apply the division lemma to get

352 = 181 x 1 + 171

We consider the new divisor 181 and the new remainder 171,and apply the division lemma to get

181 = 171 x 1 + 10

We consider the new divisor 171 and the new remainder 10,and apply the division lemma to get

171 = 10 x 17 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 533 is 1

Notice that 1 = HCF(10,1) = HCF(171,10) = HCF(181,171) = HCF(352,181) = HCF(533,352) = HCF(885,533) .

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

Step 1: Since 821 > 1, we apply the division lemma to 821 and 1, to get

821 = 1 x 821 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 821 is 1

Notice that 1 = HCF(821,1) .

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Frequently Asked Questions on HCF of 885, 533, 821 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 885, 533, 821?

Answer: HCF of 885, 533, 821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 533, 821 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 533, 821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.