Highest Common Factor of 600, 808, 211 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 600, 808, 211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 600, 808, 211 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 600, 808, 211 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 600, 808, 211 is 1.

HCF(600, 808, 211) = 1

HCF of 600, 808, 211 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 600, 808, 211 is 1.

Highest Common Factor of 600,808,211 using Euclid's algorithm

Highest Common Factor of 600,808,211 is 1

Step 1: Since 808 > 600, we apply the division lemma to 808 and 600, to get

808 = 600 x 1 + 208

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 208 and 600, to get

600 = 208 x 2 + 184

Step 3: We consider the new divisor 208 and the new remainder 184, and apply the division lemma to get

208 = 184 x 1 + 24

We consider the new divisor 184 and the new remainder 24,and apply the division lemma to get

184 = 24 x 7 + 16

We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get

24 = 16 x 1 + 8

We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get

16 = 8 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 600 and 808 is 8

Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(184,24) = HCF(208,184) = HCF(600,208) = HCF(808,600) .

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

Step 1: Since 211 > 8, we apply the division lemma to 211 and 8, to get

211 = 8 x 26 + 3

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get

8 = 3 x 2 + 2

Step 3: 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 8 and 211 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(211,8) .

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Frequently Asked Questions on HCF of 600, 808, 211 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 600, 808, 211?

Answer: HCF of 600, 808, 211 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 600, 808, 211 using Euclid's Algorithm?

Answer: For arbitrary numbers 600, 808, 211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.