Highest Common Factor of 501, 840, 593 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 501, 840, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 501, 840, 593 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 501, 840, 593 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 501, 840, 593 is 1.

HCF(501, 840, 593) = 1

HCF of 501, 840, 593 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 501, 840, 593 is 1.

Highest Common Factor of 501,840,593 using Euclid's algorithm

Highest Common Factor of 501,840,593 is 1

Step 1: Since 840 > 501, we apply the division lemma to 840 and 501, to get

840 = 501 x 1 + 339

Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 339 and 501, to get

501 = 339 x 1 + 162

Step 3: We consider the new divisor 339 and the new remainder 162, and apply the division lemma to get

339 = 162 x 2 + 15

We consider the new divisor 162 and the new remainder 15,and apply the division lemma to get

162 = 15 x 10 + 12

We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get

15 = 12 x 1 + 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 501 and 840 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(162,15) = HCF(339,162) = HCF(501,339) = HCF(840,501) .

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

Step 1: Since 593 > 3, we apply the division lemma to 593 and 3, to get

593 = 3 x 197 + 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 593 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(593,3) .

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Frequently Asked Questions on HCF of 501, 840, 593 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 501, 840, 593?

Answer: HCF of 501, 840, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 501, 840, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 501, 840, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.