Highest Common Factor of 368, 589, 23 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 368, 589, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 368, 589, 23 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 368, 589, 23 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 368, 589, 23 is 1.

HCF(368, 589, 23) = 1

HCF of 368, 589, 23 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 368, 589, 23 is 1.

Highest Common Factor of 368,589,23 using Euclid's algorithm

Highest Common Factor of 368,589,23 is 1

Step 1: Since 589 > 368, we apply the division lemma to 589 and 368, to get

589 = 368 x 1 + 221

Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 221 and 368, to get

368 = 221 x 1 + 147

Step 3: We consider the new divisor 221 and the new remainder 147, and apply the division lemma to get

221 = 147 x 1 + 74

We consider the new divisor 147 and the new remainder 74,and apply the division lemma to get

147 = 74 x 1 + 73

We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get

74 = 73 x 1 + 1

We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get

73 = 1 x 73 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 368 and 589 is 1

Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(147,74) = HCF(221,147) = HCF(368,221) = HCF(589,368) .

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

Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1

Notice that 1 = HCF(23,1) .

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Frequently Asked Questions on HCF of 368, 589, 23 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 368, 589, 23?

Answer: HCF of 368, 589, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 368, 589, 23 using Euclid's Algorithm?

Answer: For arbitrary numbers 368, 589, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.