Highest Common Factor of 611, 449, 401 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 611, 449, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 611, 449, 401 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 611, 449, 401 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 611, 449, 401 is 1.

HCF(611, 449, 401) = 1

HCF of 611, 449, 401 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 611, 449, 401 is 1.

Highest Common Factor of 611,449,401 using Euclid's algorithm

Highest Common Factor of 611,449,401 is 1

Step 1: Since 611 > 449, we apply the division lemma to 611 and 449, to get

611 = 449 x 1 + 162

Step 2: Since the reminder 449 ≠ 0, we apply division lemma to 162 and 449, to get

449 = 162 x 2 + 125

Step 3: We consider the new divisor 162 and the new remainder 125, and apply the division lemma to get

162 = 125 x 1 + 37

We consider the new divisor 125 and the new remainder 37,and apply the division lemma to get

125 = 37 x 3 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 611 and 449 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(125,37) = HCF(162,125) = HCF(449,162) = HCF(611,449) .

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

Step 1: Since 401 > 1, we apply the division lemma to 401 and 1, to get

401 = 1 x 401 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 401 is 1

Notice that 1 = HCF(401,1) .

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Frequently Asked Questions on HCF of 611, 449, 401 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 611, 449, 401?

Answer: HCF of 611, 449, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 611, 449, 401 using Euclid's Algorithm?

Answer: For arbitrary numbers 611, 449, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.