Highest Common Factor of 603, 498, 482 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, 498, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 603, 498, 482 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, 498, 482 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, 498, 482 is 1.

HCF(603, 498, 482) = 1

HCF of 603, 498, 482 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, 498, 482 is 1.

Highest Common Factor of 603,498,482 using Euclid's algorithm

Highest Common Factor of 603,498,482 is 1

Step 1: Since 603 > 498, we apply the division lemma to 603 and 498, to get

603 = 498 x 1 + 105

Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 105 and 498, to get

498 = 105 x 4 + 78

Step 3: We consider the new divisor 105 and the new remainder 78, and apply the division lemma to get

105 = 78 x 1 + 27

We consider the new divisor 78 and the new remainder 27,and apply the division lemma to get

78 = 27 x 2 + 24

We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get

27 = 24 x 1 + 3

We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get

24 = 3 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 603 and 498 is 3

Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(78,27) = HCF(105,78) = HCF(498,105) = HCF(603,498) .


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

Step 1: Since 482 > 3, we apply the division lemma to 482 and 3, to get

482 = 3 x 160 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 482 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(482,3) .

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Frequently Asked Questions on HCF of 603, 498, 482 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, 498, 482?

Answer: HCF of 603, 498, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 603, 498, 482 using Euclid's Algorithm?

Answer: For arbitrary numbers 603, 498, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.