Highest Common Factor of 606, 953 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 606, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 606, 953 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 606, 953 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 606, 953 is 1.

HCF(606, 953) = 1

HCF of 606, 953 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 606, 953 is 1.

Highest Common Factor of 606,953 using Euclid's algorithm

Highest Common Factor of 606,953 is 1

Step 1: Since 953 > 606, we apply the division lemma to 953 and 606, to get

953 = 606 x 1 + 347

Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 347 and 606, to get

606 = 347 x 1 + 259

Step 3: We consider the new divisor 347 and the new remainder 259, and apply the division lemma to get

347 = 259 x 1 + 88

We consider the new divisor 259 and the new remainder 88,and apply the division lemma to get

259 = 88 x 2 + 83

We consider the new divisor 88 and the new remainder 83,and apply the division lemma to get

88 = 83 x 1 + 5

We consider the new divisor 83 and the new remainder 5,and apply the division lemma to get

83 = 5 x 16 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 606 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(83,5) = HCF(88,83) = HCF(259,88) = HCF(347,259) = HCF(606,347) = HCF(953,606) .

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Frequently Asked Questions on HCF of 606, 953 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 606, 953?

Answer: HCF of 606, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 606, 953 using Euclid's Algorithm?

Answer: For arbitrary numbers 606, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.