Highest Common Factor of 533, 886, 921 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 533, 886, 921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 533, 886, 921 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 533, 886, 921 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 533, 886, 921 is 1.

HCF(533, 886, 921) = 1

HCF of 533, 886, 921 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 533, 886, 921 is 1.

Highest Common Factor of 533,886,921 using Euclid's algorithm

Highest Common Factor of 533,886,921 is 1

Step 1: Since 886 > 533, we apply the division lemma to 886 and 533, to get

886 = 533 x 1 + 353

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 353 and 533, to get

533 = 353 x 1 + 180

Step 3: We consider the new divisor 353 and the new remainder 180, and apply the division lemma to get

353 = 180 x 1 + 173

We consider the new divisor 180 and the new remainder 173,and apply the division lemma to get

180 = 173 x 1 + 7

We consider the new divisor 173 and the new remainder 7,and apply the division lemma to get

173 = 7 x 24 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 533 and 886 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(173,7) = HCF(180,173) = HCF(353,180) = HCF(533,353) = HCF(886,533) .

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

Step 1: Since 921 > 1, we apply the division lemma to 921 and 1, to get

921 = 1 x 921 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 921 is 1

Notice that 1 = HCF(921,1) .

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Frequently Asked Questions on HCF of 533, 886, 921 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 533, 886, 921?

Answer: HCF of 533, 886, 921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 533, 886, 921 using Euclid's Algorithm?

Answer: For arbitrary numbers 533, 886, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.