Highest Common Factor of 3495, 9017 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 3495, 9017 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3495, 9017 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 3495, 9017 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 3495, 9017 is 1.

HCF(3495, 9017) = 1

HCF of 3495, 9017 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 3495, 9017 is 1.

Highest Common Factor of 3495,9017 using Euclid's algorithm

Highest Common Factor of 3495,9017 is 1

Step 1: Since 9017 > 3495, we apply the division lemma to 9017 and 3495, to get

9017 = 3495 x 2 + 2027

Step 2: Since the reminder 3495 ≠ 0, we apply division lemma to 2027 and 3495, to get

3495 = 2027 x 1 + 1468

Step 3: We consider the new divisor 2027 and the new remainder 1468, and apply the division lemma to get

2027 = 1468 x 1 + 559

We consider the new divisor 1468 and the new remainder 559,and apply the division lemma to get

1468 = 559 x 2 + 350

We consider the new divisor 559 and the new remainder 350,and apply the division lemma to get

559 = 350 x 1 + 209

We consider the new divisor 350 and the new remainder 209,and apply the division lemma to get

350 = 209 x 1 + 141

We consider the new divisor 209 and the new remainder 141,and apply the division lemma to get

209 = 141 x 1 + 68

We consider the new divisor 141 and the new remainder 68,and apply the division lemma to get

141 = 68 x 2 + 5

We consider the new divisor 68 and the new remainder 5,and apply the division lemma to get

68 = 5 x 13 + 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 3495 and 9017 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(68,5) = HCF(141,68) = HCF(209,141) = HCF(350,209) = HCF(559,350) = HCF(1468,559) = HCF(2027,1468) = HCF(3495,2027) = HCF(9017,3495) .

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Frequently Asked Questions on HCF of 3495, 9017 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 3495, 9017?

Answer: HCF of 3495, 9017 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3495, 9017 using Euclid's Algorithm?

Answer: For arbitrary numbers 3495, 9017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.