Highest Common Factor of 211, 360, 57, 206 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, 360, 57, 206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 211, 360, 57, 206 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, 360, 57, 206 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, 360, 57, 206 is 1.

HCF(211, 360, 57, 206) = 1

HCF of 211, 360, 57, 206 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 211, 360, 57, 206 is 1.

Highest Common Factor of 211,360,57,206 using Euclid's algorithm

Highest Common Factor of 211,360,57,206 is 1

Step 1: Since 360 > 211, we apply the division lemma to 360 and 211, to get

360 = 211 x 1 + 149

Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 149 and 211, to get

211 = 149 x 1 + 62

Step 3: We consider the new divisor 149 and the new remainder 62, and apply the division lemma to get

149 = 62 x 2 + 25

We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get

62 = 25 x 2 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 211 and 360 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(149,62) = HCF(211,149) = HCF(360,211) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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

Step 1: Since 206 > 1, we apply the division lemma to 206 and 1, to get

206 = 1 x 206 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 206 is 1

Notice that 1 = HCF(206,1) .

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Frequently Asked Questions on HCF of 211, 360, 57, 206 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, 360, 57, 206?

Answer: HCF of 211, 360, 57, 206 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 211, 360, 57, 206 using Euclid's Algorithm?

Answer: For arbitrary numbers 211, 360, 57, 206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.