Highest Common Factor of 181, 684, 82 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 181, 684, 82 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 181, 684, 82 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 181, 684, 82 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 181, 684, 82 is 1.

HCF(181, 684, 82) = 1

HCF of 181, 684, 82 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 181, 684, 82 is 1.

Highest Common Factor of 181,684,82 using Euclid's algorithm

Highest Common Factor of 181,684,82 is 1

Step 1: Since 684 > 181, we apply the division lemma to 684 and 181, to get

684 = 181 x 3 + 141

Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 141 and 181, to get

181 = 141 x 1 + 40

Step 3: We consider the new divisor 141 and the new remainder 40, and apply the division lemma to get

141 = 40 x 3 + 21

We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get

40 = 21 x 1 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 181 and 684 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(141,40) = HCF(181,141) = HCF(684,181) .

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

Step 1: Since 82 > 1, we apply the division lemma to 82 and 1, to get

82 = 1 x 82 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82 is 1

Notice that 1 = HCF(82,1) .

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Frequently Asked Questions on HCF of 181, 684, 82 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 181, 684, 82?

Answer: HCF of 181, 684, 82 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 181, 684, 82 using Euclid's Algorithm?

Answer: For arbitrary numbers 181, 684, 82 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.