Highest Common Factor of 593, 260, 439, 21 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 593, 260, 439, 21 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 260, 439, 21 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 593, 260, 439, 21 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 593, 260, 439, 21 is 1.

HCF(593, 260, 439, 21) = 1

HCF of 593, 260, 439, 21 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 593, 260, 439, 21 is 1.

Highest Common Factor of 593,260,439,21 using Euclid's algorithm

Highest Common Factor of 593,260,439,21 is 1

Step 1: Since 593 > 260, we apply the division lemma to 593 and 260, to get

593 = 260 x 2 + 73

Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 73 and 260, to get

260 = 73 x 3 + 41

Step 3: We consider the new divisor 73 and the new remainder 41, and apply the division lemma to get

73 = 41 x 1 + 32

We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get

41 = 32 x 1 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 593 and 260 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(73,41) = HCF(260,73) = HCF(593,260) .

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

Step 1: Since 439 > 1, we apply the division lemma to 439 and 1, to get

439 = 1 x 439 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 439 is 1

Notice that 1 = HCF(439,1) .

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

Step 1: Since 21 > 1, we apply the division lemma to 21 and 1, to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21 is 1

Notice that 1 = HCF(21,1) .

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Frequently Asked Questions on HCF of 593, 260, 439, 21 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 593, 260, 439, 21?

Answer: HCF of 593, 260, 439, 21 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 260, 439, 21 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 260, 439, 21 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.