Highest Common Factor of 393, 618, 35 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 393, 618, 35 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 393, 618, 35 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 393, 618, 35 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 393, 618, 35 is 1.

HCF(393, 618, 35) = 1

HCF of 393, 618, 35 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 393, 618, 35 is 1.

Highest Common Factor of 393,618,35 using Euclid's algorithm

Highest Common Factor of 393,618,35 is 1

Step 1: Since 618 > 393, we apply the division lemma to 618 and 393, to get

618 = 393 x 1 + 225

Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 225 and 393, to get

393 = 225 x 1 + 168

Step 3: We consider the new divisor 225 and the new remainder 168, and apply the division lemma to get

225 = 168 x 1 + 57

We consider the new divisor 168 and the new remainder 57,and apply the division lemma to get

168 = 57 x 2 + 54

We consider the new divisor 57 and the new remainder 54,and apply the division lemma to get

57 = 54 x 1 + 3

We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get

54 = 3 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 393 and 618 is 3

Notice that 3 = HCF(54,3) = HCF(57,54) = HCF(168,57) = HCF(225,168) = HCF(393,225) = HCF(618,393) .

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

Step 1: Since 35 > 3, we apply the division lemma to 35 and 3, to get

35 = 3 x 11 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 35 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) .

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Frequently Asked Questions on HCF of 393, 618, 35 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 393, 618, 35?

Answer: HCF of 393, 618, 35 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 393, 618, 35 using Euclid's Algorithm?

Answer: For arbitrary numbers 393, 618, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.