Highest Common Factor of 817, 600, 849 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 817, 600, 849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 817, 600, 849 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 817, 600, 849 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 817, 600, 849 is 1.

HCF(817, 600, 849) = 1

HCF of 817, 600, 849 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 817, 600, 849 is 1.

Highest Common Factor of 817,600,849 using Euclid's algorithm

Highest Common Factor of 817,600,849 is 1

Step 1: Since 817 > 600, we apply the division lemma to 817 and 600, to get

817 = 600 x 1 + 217

Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 217 and 600, to get

600 = 217 x 2 + 166

Step 3: We consider the new divisor 217 and the new remainder 166, and apply the division lemma to get

217 = 166 x 1 + 51

We consider the new divisor 166 and the new remainder 51,and apply the division lemma to get

166 = 51 x 3 + 13

We consider the new divisor 51 and the new remainder 13,and apply the division lemma to get

51 = 13 x 3 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 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 817 and 600 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(51,13) = HCF(166,51) = HCF(217,166) = HCF(600,217) = HCF(817,600) .

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

Step 1: Since 849 > 1, we apply the division lemma to 849 and 1, to get

849 = 1 x 849 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 849 is 1

Notice that 1 = HCF(849,1) .

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Frequently Asked Questions on HCF of 817, 600, 849 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 817, 600, 849?

Answer: HCF of 817, 600, 849 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 817, 600, 849 using Euclid's Algorithm?

Answer: For arbitrary numbers 817, 600, 849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.