Highest Common Factor of 863, 534 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 863, 534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 534 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 863, 534 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 863, 534 is 1.

HCF(863, 534) = 1

HCF of 863, 534 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 863, 534 is 1.

Highest Common Factor of 863,534 using Euclid's algorithm

Highest Common Factor of 863,534 is 1

Step 1: Since 863 > 534, we apply the division lemma to 863 and 534, to get

863 = 534 x 1 + 329

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 329 and 534, to get

534 = 329 x 1 + 205

Step 3: We consider the new divisor 329 and the new remainder 205, and apply the division lemma to get

329 = 205 x 1 + 124

We consider the new divisor 205 and the new remainder 124,and apply the division lemma to get

205 = 124 x 1 + 81

We consider the new divisor 124 and the new remainder 81,and apply the division lemma to get

124 = 81 x 1 + 43

We consider the new divisor 81 and the new remainder 43,and apply the division lemma to get

81 = 43 x 1 + 38

We consider the new divisor 43 and the new remainder 38,and apply the division lemma to get

43 = 38 x 1 + 5

We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get

38 = 5 x 7 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 863 and 534 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(43,38) = HCF(81,43) = HCF(124,81) = HCF(205,124) = HCF(329,205) = HCF(534,329) = HCF(863,534) .

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Frequently Asked Questions on HCF of 863, 534 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 863, 534?

Answer: HCF of 863, 534 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 534 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.