Highest Common Factor of 936, 593, 492 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 936, 593, 492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 936, 593, 492 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 936, 593, 492 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 936, 593, 492 is 1.

HCF(936, 593, 492) = 1

HCF of 936, 593, 492 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 936, 593, 492 is 1.

Highest Common Factor of 936,593,492 using Euclid's algorithm

Highest Common Factor of 936,593,492 is 1

Step 1: Since 936 > 593, we apply the division lemma to 936 and 593, to get

936 = 593 x 1 + 343

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 343 and 593, to get

593 = 343 x 1 + 250

Step 3: We consider the new divisor 343 and the new remainder 250, and apply the division lemma to get

343 = 250 x 1 + 93

We consider the new divisor 250 and the new remainder 93,and apply the division lemma to get

250 = 93 x 2 + 64

We consider the new divisor 93 and the new remainder 64,and apply the division lemma to get

93 = 64 x 1 + 29

We consider the new divisor 64 and the new remainder 29,and apply the division lemma to get

64 = 29 x 2 + 6

We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get

29 = 6 x 4 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 936 and 593 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(64,29) = HCF(93,64) = HCF(250,93) = HCF(343,250) = HCF(593,343) = HCF(936,593) .

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

Step 1: Since 492 > 1, we apply the division lemma to 492 and 1, to get

492 = 1 x 492 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 492 is 1

Notice that 1 = HCF(492,1) .

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Frequently Asked Questions on HCF of 936, 593, 492 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 936, 593, 492?

Answer: HCF of 936, 593, 492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 936, 593, 492 using Euclid's Algorithm?

Answer: For arbitrary numbers 936, 593, 492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.