Highest Common Factor of 85, 566, 606 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 85, 566, 606 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 85, 566, 606 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 85, 566, 606 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 85, 566, 606 is 1.

HCF(85, 566, 606) = 1

HCF of 85, 566, 606 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 85, 566, 606 is 1.

Highest Common Factor of 85,566,606 using Euclid's algorithm

Highest Common Factor of 85,566,606 is 1

Step 1: Since 566 > 85, we apply the division lemma to 566 and 85, to get

566 = 85 x 6 + 56

Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 56 and 85, to get

85 = 56 x 1 + 29

Step 3: We consider the new divisor 56 and the new remainder 29, and apply the division lemma to get

56 = 29 x 1 + 27

We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get

29 = 27 x 1 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 85 and 566 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(566,85) .

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

Step 1: Since 606 > 1, we apply the division lemma to 606 and 1, to get

606 = 1 x 606 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 606 is 1

Notice that 1 = HCF(606,1) .

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Frequently Asked Questions on HCF of 85, 566, 606 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 85, 566, 606?

Answer: HCF of 85, 566, 606 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 85, 566, 606 using Euclid's Algorithm?

Answer: For arbitrary numbers 85, 566, 606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.