Highest Common Factor of 9827, 2161 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 9827, 2161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9827, 2161 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 9827, 2161 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 9827, 2161 is 1.

HCF(9827, 2161) = 1

HCF of 9827, 2161 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 9827, 2161 is 1.

Highest Common Factor of 9827,2161 using Euclid's algorithm

Highest Common Factor of 9827,2161 is 1

Step 1: Since 9827 > 2161, we apply the division lemma to 9827 and 2161, to get

9827 = 2161 x 4 + 1183

Step 2: Since the reminder 2161 ≠ 0, we apply division lemma to 1183 and 2161, to get

2161 = 1183 x 1 + 978

Step 3: We consider the new divisor 1183 and the new remainder 978, and apply the division lemma to get

1183 = 978 x 1 + 205

We consider the new divisor 978 and the new remainder 205,and apply the division lemma to get

978 = 205 x 4 + 158

We consider the new divisor 205 and the new remainder 158,and apply the division lemma to get

205 = 158 x 1 + 47

We consider the new divisor 158 and the new remainder 47,and apply the division lemma to get

158 = 47 x 3 + 17

We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get

47 = 17 x 2 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9827 and 2161 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(158,47) = HCF(205,158) = HCF(978,205) = HCF(1183,978) = HCF(2161,1183) = HCF(9827,2161) .

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Frequently Asked Questions on HCF of 9827, 2161 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 9827, 2161?

Answer: HCF of 9827, 2161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9827, 2161 using Euclid's Algorithm?

Answer: For arbitrary numbers 9827, 2161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.