Highest Common Factor of 596, 2159 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 596, 2159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 596, 2159 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 596, 2159 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 596, 2159 is 1.

HCF(596, 2159) = 1

HCF of 596, 2159 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 596, 2159 is 1.

Highest Common Factor of 596,2159 using Euclid's algorithm

Highest Common Factor of 596,2159 is 1

Step 1: Since 2159 > 596, we apply the division lemma to 2159 and 596, to get

2159 = 596 x 3 + 371

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 371 and 596, to get

596 = 371 x 1 + 225

Step 3: We consider the new divisor 371 and the new remainder 225, and apply the division lemma to get

371 = 225 x 1 + 146

We consider the new divisor 225 and the new remainder 146,and apply the division lemma to get

225 = 146 x 1 + 79

We consider the new divisor 146 and the new remainder 79,and apply the division lemma to get

146 = 79 x 1 + 67

We consider the new divisor 79 and the new remainder 67,and apply the division lemma to get

79 = 67 x 1 + 12

We consider the new divisor 67 and the new remainder 12,and apply the division lemma to get

67 = 12 x 5 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

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 596 and 2159 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(67,12) = HCF(79,67) = HCF(146,79) = HCF(225,146) = HCF(371,225) = HCF(596,371) = HCF(2159,596) .

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Frequently Asked Questions on HCF of 596, 2159 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 596, 2159?

Answer: HCF of 596, 2159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 596, 2159 using Euclid's Algorithm?

Answer: For arbitrary numbers 596, 2159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.