Highest Common Factor of 387, 683, 609 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 387, 683, 609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 387, 683, 609 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 387, 683, 609 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 387, 683, 609 is 1.

HCF(387, 683, 609) = 1

HCF of 387, 683, 609 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 387, 683, 609 is 1.

Highest Common Factor of 387,683,609 using Euclid's algorithm

Highest Common Factor of 387,683,609 is 1

Step 1: Since 683 > 387, we apply the division lemma to 683 and 387, to get

683 = 387 x 1 + 296

Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 296 and 387, to get

387 = 296 x 1 + 91

Step 3: We consider the new divisor 296 and the new remainder 91, and apply the division lemma to get

296 = 91 x 3 + 23

We consider the new divisor 91 and the new remainder 23,and apply the division lemma to get

91 = 23 x 3 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 387 and 683 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(91,23) = HCF(296,91) = HCF(387,296) = HCF(683,387) .

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

Step 1: Since 609 > 1, we apply the division lemma to 609 and 1, to get

609 = 1 x 609 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 609 is 1

Notice that 1 = HCF(609,1) .

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Frequently Asked Questions on HCF of 387, 683, 609 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 387, 683, 609?

Answer: HCF of 387, 683, 609 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 387, 683, 609 using Euclid's Algorithm?

Answer: For arbitrary numbers 387, 683, 609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.