Highest Common Factor of 962, 9011 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 962, 9011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 962, 9011 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 962, 9011 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 962, 9011 is 1.

HCF(962, 9011) = 1

HCF of 962, 9011 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 962, 9011 is 1.

Highest Common Factor of 962,9011 using Euclid's algorithm

Highest Common Factor of 962,9011 is 1

Step 1: Since 9011 > 962, we apply the division lemma to 9011 and 962, to get

9011 = 962 x 9 + 353

Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 353 and 962, to get

962 = 353 x 2 + 256

Step 3: We consider the new divisor 353 and the new remainder 256, and apply the division lemma to get

353 = 256 x 1 + 97

We consider the new divisor 256 and the new remainder 97,and apply the division lemma to get

256 = 97 x 2 + 62

We consider the new divisor 97 and the new remainder 62,and apply the division lemma to get

97 = 62 x 1 + 35

We consider the new divisor 62 and the new remainder 35,and apply the division lemma to get

62 = 35 x 1 + 27

We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get

35 = 27 x 1 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 962 and 9011 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(62,35) = HCF(97,62) = HCF(256,97) = HCF(353,256) = HCF(962,353) = HCF(9011,962) .

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Frequently Asked Questions on HCF of 962, 9011 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 962, 9011?

Answer: HCF of 962, 9011 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 962, 9011 using Euclid's Algorithm?

Answer: For arbitrary numbers 962, 9011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.