Highest Common Factor of 608, 965, 936 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 608, 965, 936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 608, 965, 936 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 608, 965, 936 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 608, 965, 936 is 1.

HCF(608, 965, 936) = 1

HCF of 608, 965, 936 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 608, 965, 936 is 1.

Highest Common Factor of 608,965,936 using Euclid's algorithm

Highest Common Factor of 608,965,936 is 1

Step 1: Since 965 > 608, we apply the division lemma to 965 and 608, to get

965 = 608 x 1 + 357

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 357 and 608, to get

608 = 357 x 1 + 251

Step 3: We consider the new divisor 357 and the new remainder 251, and apply the division lemma to get

357 = 251 x 1 + 106

We consider the new divisor 251 and the new remainder 106,and apply the division lemma to get

251 = 106 x 2 + 39

We consider the new divisor 106 and the new remainder 39,and apply the division lemma to get

106 = 39 x 2 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 608 and 965 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(106,39) = HCF(251,106) = HCF(357,251) = HCF(608,357) = HCF(965,608) .

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

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

936 = 1 x 936 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1

Notice that 1 = HCF(936,1) .

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Frequently Asked Questions on HCF of 608, 965, 936 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 608, 965, 936?

Answer: HCF of 608, 965, 936 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 608, 965, 936 using Euclid's Algorithm?

Answer: For arbitrary numbers 608, 965, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.