Highest Common Factor of 9217, 590 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 9217, 590 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9217, 590 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 9217, 590 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 9217, 590 is 1.

HCF(9217, 590) = 1

HCF of 9217, 590 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 9217, 590 is 1.

Highest Common Factor of 9217,590 using Euclid's algorithm

Highest Common Factor of 9217,590 is 1

Step 1: Since 9217 > 590, we apply the division lemma to 9217 and 590, to get

9217 = 590 x 15 + 367

Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 367 and 590, to get

590 = 367 x 1 + 223

Step 3: We consider the new divisor 367 and the new remainder 223, and apply the division lemma to get

367 = 223 x 1 + 144

We consider the new divisor 223 and the new remainder 144,and apply the division lemma to get

223 = 144 x 1 + 79

We consider the new divisor 144 and the new remainder 79,and apply the division lemma to get

144 = 79 x 1 + 65

We consider the new divisor 79 and the new remainder 65,and apply the division lemma to get

79 = 65 x 1 + 14

We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get

65 = 14 x 4 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 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 9217 and 590 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(79,65) = HCF(144,79) = HCF(223,144) = HCF(367,223) = HCF(590,367) = HCF(9217,590) .

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Frequently Asked Questions on HCF of 9217, 590 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 9217, 590?

Answer: HCF of 9217, 590 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9217, 590 using Euclid's Algorithm?

Answer: For arbitrary numbers 9217, 590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.