Highest Common Factor of 1598, 5923, 68271 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 1598, 5923, 68271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1598, 5923, 68271 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 1598, 5923, 68271 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 1598, 5923, 68271 is 1.

HCF(1598, 5923, 68271) = 1

HCF of 1598, 5923, 68271 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 1598, 5923, 68271 is 1.

Highest Common Factor of 1598,5923,68271 using Euclid's algorithm

Highest Common Factor of 1598,5923,68271 is 1

Step 1: Since 5923 > 1598, we apply the division lemma to 5923 and 1598, to get

5923 = 1598 x 3 + 1129

Step 2: Since the reminder 1598 ≠ 0, we apply division lemma to 1129 and 1598, to get

1598 = 1129 x 1 + 469

Step 3: We consider the new divisor 1129 and the new remainder 469, and apply the division lemma to get

1129 = 469 x 2 + 191

We consider the new divisor 469 and the new remainder 191,and apply the division lemma to get

469 = 191 x 2 + 87

We consider the new divisor 191 and the new remainder 87,and apply the division lemma to get

191 = 87 x 2 + 17

We consider the new divisor 87 and the new remainder 17,and apply the division lemma to get

87 = 17 x 5 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 1598 and 5923 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(87,17) = HCF(191,87) = HCF(469,191) = HCF(1129,469) = HCF(1598,1129) = HCF(5923,1598) .

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

Step 1: Since 68271 > 1, we apply the division lemma to 68271 and 1, to get

68271 = 1 x 68271 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68271 is 1

Notice that 1 = HCF(68271,1) .

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Frequently Asked Questions on HCF of 1598, 5923, 68271 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 1598, 5923, 68271?

Answer: HCF of 1598, 5923, 68271 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1598, 5923, 68271 using Euclid's Algorithm?

Answer: For arbitrary numbers 1598, 5923, 68271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.