Highest Common Factor of 220, 389, 57 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 220, 389, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 220, 389, 57 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 220, 389, 57 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 220, 389, 57 is 1.

HCF(220, 389, 57) = 1

HCF of 220, 389, 57 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 220, 389, 57 is 1.

Highest Common Factor of 220,389,57 using Euclid's algorithm

Highest Common Factor of 220,389,57 is 1

Step 1: Since 389 > 220, we apply the division lemma to 389 and 220, to get

389 = 220 x 1 + 169

Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 169 and 220, to get

220 = 169 x 1 + 51

Step 3: We consider the new divisor 169 and the new remainder 51, and apply the division lemma to get

169 = 51 x 3 + 16

We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get

51 = 16 x 3 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 220 and 389 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(169,51) = HCF(220,169) = HCF(389,220) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 220, 389, 57 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 220, 389, 57?

Answer: HCF of 220, 389, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 220, 389, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 220, 389, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.