Highest Common Factor of 610, 389, 29 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 610, 389, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 610, 389, 29 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 610, 389, 29 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 610, 389, 29 is 1.

HCF(610, 389, 29) = 1

HCF of 610, 389, 29 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 610, 389, 29 is 1.

Highest Common Factor of 610,389,29 using Euclid's algorithm

Highest Common Factor of 610,389,29 is 1

Step 1: Since 610 > 389, we apply the division lemma to 610 and 389, to get

610 = 389 x 1 + 221

Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 221 and 389, to get

389 = 221 x 1 + 168

Step 3: We consider the new divisor 221 and the new remainder 168, and apply the division lemma to get

221 = 168 x 1 + 53

We consider the new divisor 168 and the new remainder 53,and apply the division lemma to get

168 = 53 x 3 + 9

We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get

53 = 9 x 5 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 610 and 389 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(168,53) = HCF(221,168) = HCF(389,221) = HCF(610,389) .

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

Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1

Notice that 1 = HCF(29,1) .

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Frequently Asked Questions on HCF of 610, 389, 29 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 610, 389, 29?

Answer: HCF of 610, 389, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 610, 389, 29 using Euclid's Algorithm?

Answer: For arbitrary numbers 610, 389, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.