Highest Common Factor of 603, 4002, 9955 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 603, 4002, 9955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 603, 4002, 9955 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 603, 4002, 9955 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 603, 4002, 9955 is 1.

HCF(603, 4002, 9955) = 1

HCF of 603, 4002, 9955 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 603, 4002, 9955 is 1.

Highest Common Factor of 603,4002,9955 using Euclid's algorithm

Highest Common Factor of 603,4002,9955 is 1

Step 1: Since 4002 > 603, we apply the division lemma to 4002 and 603, to get

4002 = 603 x 6 + 384

Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 384 and 603, to get

603 = 384 x 1 + 219

Step 3: We consider the new divisor 384 and the new remainder 219, and apply the division lemma to get

384 = 219 x 1 + 165

We consider the new divisor 219 and the new remainder 165,and apply the division lemma to get

219 = 165 x 1 + 54

We consider the new divisor 165 and the new remainder 54,and apply the division lemma to get

165 = 54 x 3 + 3

We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get

54 = 3 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 603 and 4002 is 3

Notice that 3 = HCF(54,3) = HCF(165,54) = HCF(219,165) = HCF(384,219) = HCF(603,384) = HCF(4002,603) .

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

Step 1: Since 9955 > 3, we apply the division lemma to 9955 and 3, to get

9955 = 3 x 3318 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 9955 is 1

Notice that 1 = HCF(3,1) = HCF(9955,3) .

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Frequently Asked Questions on HCF of 603, 4002, 9955 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 603, 4002, 9955?

Answer: HCF of 603, 4002, 9955 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 603, 4002, 9955 using Euclid's Algorithm?

Answer: For arbitrary numbers 603, 4002, 9955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.