Highest Common Factor of 9064, 6095, 17046 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 9064, 6095, 17046 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9064, 6095, 17046 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 9064, 6095, 17046 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 9064, 6095, 17046 is 1.

HCF(9064, 6095, 17046) = 1

HCF of 9064, 6095, 17046 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 9064, 6095, 17046 is 1.

Highest Common Factor of 9064,6095,17046 using Euclid's algorithm

Highest Common Factor of 9064,6095,17046 is 1

Step 1: Since 9064 > 6095, we apply the division lemma to 9064 and 6095, to get

9064 = 6095 x 1 + 2969

Step 2: Since the reminder 6095 ≠ 0, we apply division lemma to 2969 and 6095, to get

6095 = 2969 x 2 + 157

Step 3: We consider the new divisor 2969 and the new remainder 157, and apply the division lemma to get

2969 = 157 x 18 + 143

We consider the new divisor 157 and the new remainder 143,and apply the division lemma to get

157 = 143 x 1 + 14

We consider the new divisor 143 and the new remainder 14,and apply the division lemma to get

143 = 14 x 10 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 9064 and 6095 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(143,14) = HCF(157,143) = HCF(2969,157) = HCF(6095,2969) = HCF(9064,6095) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 17046 > 1, we apply the division lemma to 17046 and 1, to get

17046 = 1 x 17046 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17046 is 1

Notice that 1 = HCF(17046,1) .

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Frequently Asked Questions on HCF of 9064, 6095, 17046 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 9064, 6095, 17046?

Answer: HCF of 9064, 6095, 17046 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9064, 6095, 17046 using Euclid's Algorithm?

Answer: For arbitrary numbers 9064, 6095, 17046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.