Highest Common Factor of 1106, 8425 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 1106, 8425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1106, 8425 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 1106, 8425 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 1106, 8425 is 1.

HCF(1106, 8425) = 1

HCF of 1106, 8425 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1106, 8425 is 1.

Highest Common Factor of 1106,8425 using Euclid's algorithm

Highest Common Factor of 1106,8425 is 1

Step 1: Since 8425 > 1106, we apply the division lemma to 8425 and 1106, to get

8425 = 1106 x 7 + 683

Step 2: Since the reminder 1106 ≠ 0, we apply division lemma to 683 and 1106, to get

1106 = 683 x 1 + 423

Step 3: We consider the new divisor 683 and the new remainder 423, and apply the division lemma to get

683 = 423 x 1 + 260

We consider the new divisor 423 and the new remainder 260,and apply the division lemma to get

423 = 260 x 1 + 163

We consider the new divisor 260 and the new remainder 163,and apply the division lemma to get

260 = 163 x 1 + 97

We consider the new divisor 163 and the new remainder 97,and apply the division lemma to get

163 = 97 x 1 + 66

We consider the new divisor 97 and the new remainder 66,and apply the division lemma to get

97 = 66 x 1 + 31

We consider the new divisor 66 and the new remainder 31,and apply the division lemma to get

66 = 31 x 2 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1106 and 8425 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(66,31) = HCF(97,66) = HCF(163,97) = HCF(260,163) = HCF(423,260) = HCF(683,423) = HCF(1106,683) = HCF(8425,1106) .

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Frequently Asked Questions on HCF of 1106, 8425 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 1106, 8425?

Answer: HCF of 1106, 8425 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1106, 8425 using Euclid's Algorithm?

Answer: For arbitrary numbers 1106, 8425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.