Highest Common Factor of 327, 206, 476, 62 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 327, 206, 476, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 327, 206, 476, 62 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 327, 206, 476, 62 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 327, 206, 476, 62 is 1.

HCF(327, 206, 476, 62) = 1

HCF of 327, 206, 476, 62 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 327, 206, 476, 62 is 1.

Highest Common Factor of 327,206,476,62 using Euclid's algorithm

Highest Common Factor of 327,206,476,62 is 1

Step 1: Since 327 > 206, we apply the division lemma to 327 and 206, to get

327 = 206 x 1 + 121

Step 2: Since the reminder 206 ≠ 0, we apply division lemma to 121 and 206, to get

206 = 121 x 1 + 85

Step 3: We consider the new divisor 121 and the new remainder 85, and apply the division lemma to get

121 = 85 x 1 + 36

We consider the new divisor 85 and the new remainder 36,and apply the division lemma to get

85 = 36 x 2 + 13

We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get

36 = 13 x 2 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 327 and 206 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(85,36) = HCF(121,85) = HCF(206,121) = HCF(327,206) .

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

Step 1: Since 476 > 1, we apply the division lemma to 476 and 1, to get

476 = 1 x 476 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 476 is 1

Notice that 1 = HCF(476,1) .

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

Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get

62 = 1 x 62 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1

Notice that 1 = HCF(62,1) .

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Frequently Asked Questions on HCF of 327, 206, 476, 62 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 327, 206, 476, 62?

Answer: HCF of 327, 206, 476, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 327, 206, 476, 62 using Euclid's Algorithm?

Answer: For arbitrary numbers 327, 206, 476, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.