Highest Common Factor of 2023, 7806 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 2023, 7806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2023, 7806 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 2023, 7806 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 2023, 7806 is 1.

HCF(2023, 7806) = 1

HCF of 2023, 7806 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 2023, 7806 is 1.

Highest Common Factor of 2023,7806 using Euclid's algorithm

Highest Common Factor of 2023,7806 is 1

Step 1: Since 7806 > 2023, we apply the division lemma to 7806 and 2023, to get

7806 = 2023 x 3 + 1737

Step 2: Since the reminder 2023 ≠ 0, we apply division lemma to 1737 and 2023, to get

2023 = 1737 x 1 + 286

Step 3: We consider the new divisor 1737 and the new remainder 286, and apply the division lemma to get

1737 = 286 x 6 + 21

We consider the new divisor 286 and the new remainder 21,and apply the division lemma to get

286 = 21 x 13 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 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 2023 and 7806 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(286,21) = HCF(1737,286) = HCF(2023,1737) = HCF(7806,2023) .

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Frequently Asked Questions on HCF of 2023, 7806 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 2023, 7806?

Answer: HCF of 2023, 7806 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2023, 7806 using Euclid's Algorithm?

Answer: For arbitrary numbers 2023, 7806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.