Highest Common Factor of 410, 181, 810, 617 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 410, 181, 810, 617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 410, 181, 810, 617 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 410, 181, 810, 617 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 410, 181, 810, 617 is 1.

HCF(410, 181, 810, 617) = 1

HCF of 410, 181, 810, 617 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 410, 181, 810, 617 is 1.

Highest Common Factor of 410,181,810,617 using Euclid's algorithm

Highest Common Factor of 410,181,810,617 is 1

Step 1: Since 410 > 181, we apply the division lemma to 410 and 181, to get

410 = 181 x 2 + 48

Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 48 and 181, to get

181 = 48 x 3 + 37

Step 3: We consider the new divisor 48 and the new remainder 37, and apply the division lemma to get

48 = 37 x 1 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 410 and 181 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(48,37) = HCF(181,48) = HCF(410,181) .

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

Step 1: Since 810 > 1, we apply the division lemma to 810 and 1, to get

810 = 1 x 810 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 810 is 1

Notice that 1 = HCF(810,1) .

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

Step 1: Since 617 > 1, we apply the division lemma to 617 and 1, to get

617 = 1 x 617 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 617 is 1

Notice that 1 = HCF(617,1) .

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Frequently Asked Questions on HCF of 410, 181, 810, 617 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 410, 181, 810, 617?

Answer: HCF of 410, 181, 810, 617 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 410, 181, 810, 617 using Euclid's Algorithm?

Answer: For arbitrary numbers 410, 181, 810, 617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.