Highest Common Factor of 3475, 9106 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 3475, 9106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3475, 9106 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 3475, 9106 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 3475, 9106 is 1.

HCF(3475, 9106) = 1

HCF of 3475, 9106 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 3475, 9106 is 1.

Highest Common Factor of 3475,9106 using Euclid's algorithm

Highest Common Factor of 3475,9106 is 1

Step 1: Since 9106 > 3475, we apply the division lemma to 9106 and 3475, to get

9106 = 3475 x 2 + 2156

Step 2: Since the reminder 3475 ≠ 0, we apply division lemma to 2156 and 3475, to get

3475 = 2156 x 1 + 1319

Step 3: We consider the new divisor 2156 and the new remainder 1319, and apply the division lemma to get

2156 = 1319 x 1 + 837

We consider the new divisor 1319 and the new remainder 837,and apply the division lemma to get

1319 = 837 x 1 + 482

We consider the new divisor 837 and the new remainder 482,and apply the division lemma to get

837 = 482 x 1 + 355

We consider the new divisor 482 and the new remainder 355,and apply the division lemma to get

482 = 355 x 1 + 127

We consider the new divisor 355 and the new remainder 127,and apply the division lemma to get

355 = 127 x 2 + 101

We consider the new divisor 127 and the new remainder 101,and apply the division lemma to get

127 = 101 x 1 + 26

We consider the new divisor 101 and the new remainder 26,and apply the division lemma to get

101 = 26 x 3 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 3475 and 9106 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(127,101) = HCF(355,127) = HCF(482,355) = HCF(837,482) = HCF(1319,837) = HCF(2156,1319) = HCF(3475,2156) = HCF(9106,3475) .

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Frequently Asked Questions on HCF of 3475, 9106 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 3475, 9106?

Answer: HCF of 3475, 9106 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3475, 9106 using Euclid's Algorithm?

Answer: For arbitrary numbers 3475, 9106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.