Highest Common Factor of 211, 366 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 211, 366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 211, 366 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 211, 366 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 211, 366 is 1.

HCF(211, 366) = 1

HCF of 211, 366 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 211, 366 is 1.

Highest Common Factor of 211,366 using Euclid's algorithm

Highest Common Factor of 211,366 is 1

Step 1: Since 366 > 211, we apply the division lemma to 366 and 211, to get

366 = 211 x 1 + 155

Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 155 and 211, to get

211 = 155 x 1 + 56

Step 3: We consider the new divisor 155 and the new remainder 56, and apply the division lemma to get

155 = 56 x 2 + 43

We consider the new divisor 56 and the new remainder 43,and apply the division lemma to get

56 = 43 x 1 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 211 and 366 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(56,43) = HCF(155,56) = HCF(211,155) = HCF(366,211) .

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Frequently Asked Questions on HCF of 211, 366 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 211, 366?

Answer: HCF of 211, 366 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 211, 366 using Euclid's Algorithm?

Answer: For arbitrary numbers 211, 366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.