Highest Common Factor of 490, 3362, 1719 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 490, 3362, 1719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 3362, 1719 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 490, 3362, 1719 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 490, 3362, 1719 is 1.

HCF(490, 3362, 1719) = 1

HCF of 490, 3362, 1719 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 490, 3362, 1719 is 1.

Highest Common Factor of 490,3362,1719 using Euclid's algorithm

Highest Common Factor of 490,3362,1719 is 1

Step 1: Since 3362 > 490, we apply the division lemma to 3362 and 490, to get

3362 = 490 x 6 + 422

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 422 and 490, to get

490 = 422 x 1 + 68

Step 3: We consider the new divisor 422 and the new remainder 68, and apply the division lemma to get

422 = 68 x 6 + 14

We consider the new divisor 68 and the new remainder 14,and apply the division lemma to get

68 = 14 x 4 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 3362 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(68,14) = HCF(422,68) = HCF(490,422) = HCF(3362,490) .

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

Step 1: Since 1719 > 2, we apply the division lemma to 1719 and 2, to get

1719 = 2 x 859 + 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 1719 is 1

Notice that 1 = HCF(2,1) = HCF(1719,2) .

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Frequently Asked Questions on HCF of 490, 3362, 1719 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 490, 3362, 1719?

Answer: HCF of 490, 3362, 1719 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 3362, 1719 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 3362, 1719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.