Highest Common Factor of 9563, 3755 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 9563, 3755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9563, 3755 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 9563, 3755 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 9563, 3755 is 1.

HCF(9563, 3755) = 1

HCF of 9563, 3755 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 9563, 3755 is 1.

Highest Common Factor of 9563,3755 using Euclid's algorithm

Highest Common Factor of 9563,3755 is 1

Step 1: Since 9563 > 3755, we apply the division lemma to 9563 and 3755, to get

9563 = 3755 x 2 + 2053

Step 2: Since the reminder 3755 ≠ 0, we apply division lemma to 2053 and 3755, to get

3755 = 2053 x 1 + 1702

Step 3: We consider the new divisor 2053 and the new remainder 1702, and apply the division lemma to get

2053 = 1702 x 1 + 351

We consider the new divisor 1702 and the new remainder 351,and apply the division lemma to get

1702 = 351 x 4 + 298

We consider the new divisor 351 and the new remainder 298,and apply the division lemma to get

351 = 298 x 1 + 53

We consider the new divisor 298 and the new remainder 53,and apply the division lemma to get

298 = 53 x 5 + 33

We consider the new divisor 53 and the new remainder 33,and apply the division lemma to get

53 = 33 x 1 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9563 and 3755 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(53,33) = HCF(298,53) = HCF(351,298) = HCF(1702,351) = HCF(2053,1702) = HCF(3755,2053) = HCF(9563,3755) .

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Frequently Asked Questions on HCF of 9563, 3755 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 9563, 3755?

Answer: HCF of 9563, 3755 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9563, 3755 using Euclid's Algorithm?

Answer: For arbitrary numbers 9563, 3755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.