Highest Common Factor of 936, 605, 667 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 936, 605, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 936, 605, 667 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 936, 605, 667 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 936, 605, 667 is 1.

HCF(936, 605, 667) = 1

HCF of 936, 605, 667 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 936, 605, 667 is 1.

Highest Common Factor of 936,605,667 using Euclid's algorithm

Highest Common Factor of 936,605,667 is 1

Step 1: Since 936 > 605, we apply the division lemma to 936 and 605, to get

936 = 605 x 1 + 331

Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 331 and 605, to get

605 = 331 x 1 + 274

Step 3: We consider the new divisor 331 and the new remainder 274, and apply the division lemma to get

331 = 274 x 1 + 57

We consider the new divisor 274 and the new remainder 57,and apply the division lemma to get

274 = 57 x 4 + 46

We consider the new divisor 57 and the new remainder 46,and apply the division lemma to get

57 = 46 x 1 + 11

We consider the new divisor 46 and the new remainder 11,and apply the division lemma to get

46 = 11 x 4 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 936 and 605 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(46,11) = HCF(57,46) = HCF(274,57) = HCF(331,274) = HCF(605,331) = HCF(936,605) .

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

Step 1: Since 667 > 1, we apply the division lemma to 667 and 1, to get

667 = 1 x 667 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 667 is 1

Notice that 1 = HCF(667,1) .

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Frequently Asked Questions on HCF of 936, 605, 667 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 936, 605, 667?

Answer: HCF of 936, 605, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 936, 605, 667 using Euclid's Algorithm?

Answer: For arbitrary numbers 936, 605, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.