Highest Common Factor of 201, 994, 66 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 201, 994, 66 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 201, 994, 66 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 201, 994, 66 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 201, 994, 66 is 1.

HCF(201, 994, 66) = 1

HCF of 201, 994, 66 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 201, 994, 66 is 1.

Highest Common Factor of 201,994,66 using Euclid's algorithm

Highest Common Factor of 201,994,66 is 1

Step 1: Since 994 > 201, we apply the division lemma to 994 and 201, to get

994 = 201 x 4 + 190

Step 2: Since the reminder 201 ≠ 0, we apply division lemma to 190 and 201, to get

201 = 190 x 1 + 11

Step 3: We consider the new divisor 190 and the new remainder 11, and apply the division lemma to get

190 = 11 x 17 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

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

3 = 2 x 1 + 1

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 201 and 994 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(190,11) = HCF(201,190) = HCF(994,201) .

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

Step 1: Since 66 > 1, we apply the division lemma to 66 and 1, to get

66 = 1 x 66 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66 is 1

Notice that 1 = HCF(66,1) .

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Frequently Asked Questions on HCF of 201, 994, 66 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 201, 994, 66?

Answer: HCF of 201, 994, 66 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 201, 994, 66 using Euclid's Algorithm?

Answer: For arbitrary numbers 201, 994, 66 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.