Highest Common Factor of 537, 819, 335 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 537, 819, 335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 537, 819, 335 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 537, 819, 335 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 537, 819, 335 is 1.

HCF(537, 819, 335) = 1

HCF of 537, 819, 335 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 537, 819, 335 is 1.

Highest Common Factor of 537,819,335 using Euclid's algorithm

Highest Common Factor of 537,819,335 is 1

Step 1: Since 819 > 537, we apply the division lemma to 819 and 537, to get

819 = 537 x 1 + 282

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 282 and 537, to get

537 = 282 x 1 + 255

Step 3: We consider the new divisor 282 and the new remainder 255, and apply the division lemma to get

282 = 255 x 1 + 27

We consider the new divisor 255 and the new remainder 27,and apply the division lemma to get

255 = 27 x 9 + 12

We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get

27 = 12 x 2 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 537 and 819 is 3

Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(255,27) = HCF(282,255) = HCF(537,282) = HCF(819,537) .

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

Step 1: Since 335 > 3, we apply the division lemma to 335 and 3, to get

335 = 3 x 111 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 335 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(335,3) .

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Frequently Asked Questions on HCF of 537, 819, 335 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 537, 819, 335?

Answer: HCF of 537, 819, 335 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 537, 819, 335 using Euclid's Algorithm?

Answer: For arbitrary numbers 537, 819, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.