Highest Common Factor of 444, 603, 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 444, 603, 606 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 444, 603, 606 is 3 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 444, 603, 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 444, 603, 606 is 3.

HCF(444, 603, 606) = 3

HCF of 444, 603, 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 444, 603, 606 is 3.

Highest Common Factor of 444,603,606 using Euclid's algorithm

Highest Common Factor of 444,603,606 is 3

Step 1: Since 603 > 444, we apply the division lemma to 603 and 444, to get

603 = 444 x 1 + 159

Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 159 and 444, to get

444 = 159 x 2 + 126

Step 3: We consider the new divisor 159 and the new remainder 126, and apply the division lemma to get

159 = 126 x 1 + 33

We consider the new divisor 126 and the new remainder 33,and apply the division lemma to get

126 = 33 x 3 + 27

We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get

33 = 27 x 1 + 6

We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get

27 = 6 x 4 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 444 and 603 is 3

Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(126,33) = HCF(159,126) = HCF(444,159) = HCF(603,444) .

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

Step 1: Since 606 > 3, we apply the division lemma to 606 and 3, to get

606 = 3 x 202 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 606 is 3

Notice that 3 = HCF(606,3) .

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Frequently Asked Questions on HCF of 444, 603, 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 444, 603, 606?

Answer: HCF of 444, 603, 606 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 444, 603, 606 using Euclid's Algorithm?

Answer: For arbitrary numbers 444, 603, 606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.