Highest Common Factor of 532, 73835 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 532, 73835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 532, 73835 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 532, 73835 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 532, 73835 is 1.

HCF(532, 73835) = 1

HCF of 532, 73835 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 532, 73835 is 1.

Highest Common Factor of 532,73835 using Euclid's algorithm

Highest Common Factor of 532,73835 is 1

Step 1: Since 73835 > 532, we apply the division lemma to 73835 and 532, to get

73835 = 532 x 138 + 419

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 419 and 532, to get

532 = 419 x 1 + 113

Step 3: We consider the new divisor 419 and the new remainder 113, and apply the division lemma to get

419 = 113 x 3 + 80

We consider the new divisor 113 and the new remainder 80,and apply the division lemma to get

113 = 80 x 1 + 33

We consider the new divisor 80 and the new remainder 33,and apply the division lemma to get

80 = 33 x 2 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 532 and 73835 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(80,33) = HCF(113,80) = HCF(419,113) = HCF(532,419) = HCF(73835,532) .

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Frequently Asked Questions on HCF of 532, 73835 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 532, 73835?

Answer: HCF of 532, 73835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 532, 73835 using Euclid's Algorithm?

Answer: For arbitrary numbers 532, 73835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.