Highest Common Factor of 633, 352, 490 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 633, 352, 490 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 633, 352, 490 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 633, 352, 490 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 633, 352, 490 is 1.

HCF(633, 352, 490) = 1

HCF of 633, 352, 490 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 633, 352, 490 is 1.

Highest Common Factor of 633,352,490 using Euclid's algorithm

Highest Common Factor of 633,352,490 is 1

Step 1: Since 633 > 352, we apply the division lemma to 633 and 352, to get

633 = 352 x 1 + 281

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 281 and 352, to get

352 = 281 x 1 + 71

Step 3: We consider the new divisor 281 and the new remainder 71, and apply the division lemma to get

281 = 71 x 3 + 68

We consider the new divisor 71 and the new remainder 68,and apply the division lemma to get

71 = 68 x 1 + 3

We consider the new divisor 68 and the new remainder 3,and apply the division lemma to get

68 = 3 x 22 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 633 and 352 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(68,3) = HCF(71,68) = HCF(281,71) = HCF(352,281) = HCF(633,352) .

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

Step 1: Since 490 > 1, we apply the division lemma to 490 and 1, to get

490 = 1 x 490 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 490 is 1

Notice that 1 = HCF(490,1) .

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Frequently Asked Questions on HCF of 633, 352, 490 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 633, 352, 490?

Answer: HCF of 633, 352, 490 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 633, 352, 490 using Euclid's Algorithm?

Answer: For arbitrary numbers 633, 352, 490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.