Highest Common Factor of 566, 932, 603 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, 932, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 566, 932, 603 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, 932, 603 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, 932, 603 is 1.

HCF(566, 932, 603) = 1

HCF of 566, 932, 603 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, 932, 603 is 1.

Highest Common Factor of 566,932,603 using Euclid's algorithm

Highest Common Factor of 566,932,603 is 1

Step 1: Since 932 > 566, we apply the division lemma to 932 and 566, to get

932 = 566 x 1 + 366

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 366 and 566, to get

566 = 366 x 1 + 200

Step 3: We consider the new divisor 366 and the new remainder 200, and apply the division lemma to get

366 = 200 x 1 + 166

We consider the new divisor 200 and the new remainder 166,and apply the division lemma to get

200 = 166 x 1 + 34

We consider the new divisor 166 and the new remainder 34,and apply the division lemma to get

166 = 34 x 4 + 30

We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get

34 = 30 x 1 + 4

We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get

30 = 4 x 7 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 566 and 932 is 2

Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(166,34) = HCF(200,166) = HCF(366,200) = HCF(566,366) = HCF(932,566) .

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

Step 1: Since 603 > 2, we apply the division lemma to 603 and 2, to get

603 = 2 x 301 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 603 is 1

Notice that 1 = HCF(2,1) = HCF(603,2) .

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Frequently Asked Questions on HCF of 566, 932, 603 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, 932, 603?

Answer: HCF of 566, 932, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 566, 932, 603 using Euclid's Algorithm?

Answer: For arbitrary numbers 566, 932, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.