Highest Common Factor of 9569, 1336 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 9569, 1336 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9569, 1336 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 9569, 1336 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 9569, 1336 is 1.

HCF(9569, 1336) = 1

HCF of 9569, 1336 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 9569, 1336 is 1.

Highest Common Factor of 9569,1336 using Euclid's algorithm

Highest Common Factor of 9569,1336 is 1

Step 1: Since 9569 > 1336, we apply the division lemma to 9569 and 1336, to get

9569 = 1336 x 7 + 217

Step 2: Since the reminder 1336 ≠ 0, we apply division lemma to 217 and 1336, to get

1336 = 217 x 6 + 34

Step 3: We consider the new divisor 217 and the new remainder 34, and apply the division lemma to get

217 = 34 x 6 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 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 9569 and 1336 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(217,34) = HCF(1336,217) = HCF(9569,1336) .

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Frequently Asked Questions on HCF of 9569, 1336 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 9569, 1336?

Answer: HCF of 9569, 1336 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9569, 1336 using Euclid's Algorithm?

Answer: For arbitrary numbers 9569, 1336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.