Highest Common Factor of 179, 386, 22 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 179, 386, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 179, 386, 22 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 179, 386, 22 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 179, 386, 22 is 1.

HCF(179, 386, 22) = 1

HCF of 179, 386, 22 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 179, 386, 22 is 1.

Highest Common Factor of 179,386,22 using Euclid's algorithm

Highest Common Factor of 179,386,22 is 1

Step 1: Since 386 > 179, we apply the division lemma to 386 and 179, to get

386 = 179 x 2 + 28

Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 28 and 179, to get

179 = 28 x 6 + 11

Step 3: We consider the new divisor 28 and the new remainder 11, and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 179 and 386 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(179,28) = HCF(386,179) .

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

Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1

Notice that 1 = HCF(22,1) .

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Frequently Asked Questions on HCF of 179, 386, 22 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 179, 386, 22?

Answer: HCF of 179, 386, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 179, 386, 22 using Euclid's Algorithm?

Answer: For arbitrary numbers 179, 386, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.