Highest Common Factor of 9033, 2110 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 9033, 2110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9033, 2110 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 9033, 2110 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 9033, 2110 is 1.

HCF(9033, 2110) = 1

HCF of 9033, 2110 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 9033, 2110 is 1.

Highest Common Factor of 9033,2110 using Euclid's algorithm

Highest Common Factor of 9033,2110 is 1

Step 1: Since 9033 > 2110, we apply the division lemma to 9033 and 2110, to get

9033 = 2110 x 4 + 593

Step 2: Since the reminder 2110 ≠ 0, we apply division lemma to 593 and 2110, to get

2110 = 593 x 3 + 331

Step 3: We consider the new divisor 593 and the new remainder 331, and apply the division lemma to get

593 = 331 x 1 + 262

We consider the new divisor 331 and the new remainder 262,and apply the division lemma to get

331 = 262 x 1 + 69

We consider the new divisor 262 and the new remainder 69,and apply the division lemma to get

262 = 69 x 3 + 55

We consider the new divisor 69 and the new remainder 55,and apply the division lemma to get

69 = 55 x 1 + 14

We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get

55 = 14 x 3 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9033 and 2110 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(262,69) = HCF(331,262) = HCF(593,331) = HCF(2110,593) = HCF(9033,2110) .

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Frequently Asked Questions on HCF of 9033, 2110 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 9033, 2110?

Answer: HCF of 9033, 2110 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9033, 2110 using Euclid's Algorithm?

Answer: For arbitrary numbers 9033, 2110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.