Highest Common Factor of 618, 389, 362 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 618, 389, 362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 618, 389, 362 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 618, 389, 362 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 618, 389, 362 is 1.

HCF(618, 389, 362) = 1

HCF of 618, 389, 362 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 618, 389, 362 is 1.

Highest Common Factor of 618,389,362 using Euclid's algorithm

Highest Common Factor of 618,389,362 is 1

Step 1: Since 618 > 389, we apply the division lemma to 618 and 389, to get

618 = 389 x 1 + 229

Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 229 and 389, to get

389 = 229 x 1 + 160

Step 3: We consider the new divisor 229 and the new remainder 160, and apply the division lemma to get

229 = 160 x 1 + 69

We consider the new divisor 160 and the new remainder 69,and apply the division lemma to get

160 = 69 x 2 + 22

We consider the new divisor 69 and the new remainder 22,and apply the division lemma to get

69 = 22 x 3 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 618 and 389 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(69,22) = HCF(160,69) = HCF(229,160) = HCF(389,229) = HCF(618,389) .

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

Step 1: Since 362 > 1, we apply the division lemma to 362 and 1, to get

362 = 1 x 362 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 362 is 1

Notice that 1 = HCF(362,1) .

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Frequently Asked Questions on HCF of 618, 389, 362 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 618, 389, 362?

Answer: HCF of 618, 389, 362 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 618, 389, 362 using Euclid's Algorithm?

Answer: For arbitrary numbers 618, 389, 362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.