Highest Common Factor of 9213, 1861 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 9213, 1861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9213, 1861 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 9213, 1861 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 9213, 1861 is 1.

HCF(9213, 1861) = 1

HCF of 9213, 1861 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 9213, 1861 is 1.

Highest Common Factor of 9213,1861 using Euclid's algorithm

Highest Common Factor of 9213,1861 is 1

Step 1: Since 9213 > 1861, we apply the division lemma to 9213 and 1861, to get

9213 = 1861 x 4 + 1769

Step 2: Since the reminder 1861 ≠ 0, we apply division lemma to 1769 and 1861, to get

1861 = 1769 x 1 + 92

Step 3: We consider the new divisor 1769 and the new remainder 92, and apply the division lemma to get

1769 = 92 x 19 + 21

We consider the new divisor 92 and the new remainder 21,and apply the division lemma to get

92 = 21 x 4 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 9213 and 1861 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(92,21) = HCF(1769,92) = HCF(1861,1769) = HCF(9213,1861) .

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Frequently Asked Questions on HCF of 9213, 1861 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 9213, 1861?

Answer: HCF of 9213, 1861 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9213, 1861 using Euclid's Algorithm?

Answer: For arbitrary numbers 9213, 1861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.