Highest Common Factor of 566, 775, 24, 885 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 566, 775, 24, 885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 566, 775, 24, 885 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 566, 775, 24, 885 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 566, 775, 24, 885 is 1.

HCF(566, 775, 24, 885) = 1

HCF of 566, 775, 24, 885 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 566, 775, 24, 885 is 1.

Highest Common Factor of 566,775,24,885 using Euclid's algorithm

Highest Common Factor of 566,775,24,885 is 1

Step 1: Since 775 > 566, we apply the division lemma to 775 and 566, to get

775 = 566 x 1 + 209

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 209 and 566, to get

566 = 209 x 2 + 148

Step 3: We consider the new divisor 209 and the new remainder 148, and apply the division lemma to get

209 = 148 x 1 + 61

We consider the new divisor 148 and the new remainder 61,and apply the division lemma to get

148 = 61 x 2 + 26

We consider the new divisor 61 and the new remainder 26,and apply the division lemma to get

61 = 26 x 2 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 566 and 775 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(61,26) = HCF(148,61) = HCF(209,148) = HCF(566,209) = HCF(775,566) .

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

Step 1: Since 24 > 1, we apply the division lemma to 24 and 1, to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24 is 1

Notice that 1 = HCF(24,1) .

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

Step 1: Since 885 > 1, we apply the division lemma to 885 and 1, to get

885 = 1 x 885 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 885 is 1

Notice that 1 = HCF(885,1) .

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Frequently Asked Questions on HCF of 566, 775, 24, 885 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 566, 775, 24, 885?

Answer: HCF of 566, 775, 24, 885 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 566, 775, 24, 885 using Euclid's Algorithm?

Answer: For arbitrary numbers 566, 775, 24, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.