Highest Common Factor of 1693, 6621 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 1693, 6621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1693, 6621 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 1693, 6621 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 1693, 6621 is 1.

HCF(1693, 6621) = 1

HCF of 1693, 6621 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 1693, 6621 is 1.

Highest Common Factor of 1693,6621 using Euclid's algorithm

Highest Common Factor of 1693,6621 is 1

Step 1: Since 6621 > 1693, we apply the division lemma to 6621 and 1693, to get

6621 = 1693 x 3 + 1542

Step 2: Since the reminder 1693 ≠ 0, we apply division lemma to 1542 and 1693, to get

1693 = 1542 x 1 + 151

Step 3: We consider the new divisor 1542 and the new remainder 151, and apply the division lemma to get

1542 = 151 x 10 + 32

We consider the new divisor 151 and the new remainder 32,and apply the division lemma to get

151 = 32 x 4 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 1693 and 6621 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(151,32) = HCF(1542,151) = HCF(1693,1542) = HCF(6621,1693) .

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Frequently Asked Questions on HCF of 1693, 6621 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 1693, 6621?

Answer: HCF of 1693, 6621 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1693, 6621 using Euclid's Algorithm?

Answer: For arbitrary numbers 1693, 6621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.