Highest Common Factor of 9555, 1663 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 9555, 1663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9555, 1663 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 9555, 1663 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 9555, 1663 is 1.

HCF(9555, 1663) = 1

HCF of 9555, 1663 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 9555, 1663 is 1.

Highest Common Factor of 9555,1663 using Euclid's algorithm

Highest Common Factor of 9555,1663 is 1

Step 1: Since 9555 > 1663, we apply the division lemma to 9555 and 1663, to get

9555 = 1663 x 5 + 1240

Step 2: Since the reminder 1663 ≠ 0, we apply division lemma to 1240 and 1663, to get

1663 = 1240 x 1 + 423

Step 3: We consider the new divisor 1240 and the new remainder 423, and apply the division lemma to get

1240 = 423 x 2 + 394

We consider the new divisor 423 and the new remainder 394,and apply the division lemma to get

423 = 394 x 1 + 29

We consider the new divisor 394 and the new remainder 29,and apply the division lemma to get

394 = 29 x 13 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9555 and 1663 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(394,29) = HCF(423,394) = HCF(1240,423) = HCF(1663,1240) = HCF(9555,1663) .

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Frequently Asked Questions on HCF of 9555, 1663 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 9555, 1663?

Answer: HCF of 9555, 1663 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9555, 1663 using Euclid's Algorithm?

Answer: For arbitrary numbers 9555, 1663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.