Highest Common Factor of 864, 533 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 864, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 864, 533 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 864, 533 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 864, 533 is 1.

HCF(864, 533) = 1

HCF of 864, 533 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 864, 533 is 1.

Highest Common Factor of 864,533 using Euclid's algorithm

Highest Common Factor of 864,533 is 1

Step 1: Since 864 > 533, we apply the division lemma to 864 and 533, to get

864 = 533 x 1 + 331

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 331 and 533, to get

533 = 331 x 1 + 202

Step 3: We consider the new divisor 331 and the new remainder 202, and apply the division lemma to get

331 = 202 x 1 + 129

We consider the new divisor 202 and the new remainder 129,and apply the division lemma to get

202 = 129 x 1 + 73

We consider the new divisor 129 and the new remainder 73,and apply the division lemma to get

129 = 73 x 1 + 56

We consider the new divisor 73 and the new remainder 56,and apply the division lemma to get

73 = 56 x 1 + 17

We consider the new divisor 56 and the new remainder 17,and apply the division lemma to get

56 = 17 x 3 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 864 and 533 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(73,56) = HCF(129,73) = HCF(202,129) = HCF(331,202) = HCF(533,331) = HCF(864,533) .

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Frequently Asked Questions on HCF of 864, 533 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 864, 533?

Answer: HCF of 864, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 864, 533 using Euclid's Algorithm?

Answer: For arbitrary numbers 864, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.