Highest Common Factor of 824, 473, 566 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 824, 473, 566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 824, 473, 566 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 824, 473, 566 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 824, 473, 566 is 1.

HCF(824, 473, 566) = 1

HCF of 824, 473, 566 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 824, 473, 566 is 1.

Highest Common Factor of 824,473,566 using Euclid's algorithm

Highest Common Factor of 824,473,566 is 1

Step 1: Since 824 > 473, we apply the division lemma to 824 and 473, to get

824 = 473 x 1 + 351

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 351 and 473, to get

473 = 351 x 1 + 122

Step 3: We consider the new divisor 351 and the new remainder 122, and apply the division lemma to get

351 = 122 x 2 + 107

We consider the new divisor 122 and the new remainder 107,and apply the division lemma to get

122 = 107 x 1 + 15

We consider the new divisor 107 and the new remainder 15,and apply the division lemma to get

107 = 15 x 7 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 824 and 473 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(107,15) = HCF(122,107) = HCF(351,122) = HCF(473,351) = HCF(824,473) .

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

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

566 = 1 x 566 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 566 is 1

Notice that 1 = HCF(566,1) .

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Frequently Asked Questions on HCF of 824, 473, 566 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 824, 473, 566?

Answer: HCF of 824, 473, 566 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 824, 473, 566 using Euclid's Algorithm?

Answer: For arbitrary numbers 824, 473, 566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.