Highest Common Factor of 4593, 2058, 67094 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 4593, 2058, 67094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4593, 2058, 67094 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 4593, 2058, 67094 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 4593, 2058, 67094 is 1.

HCF(4593, 2058, 67094) = 1

HCF of 4593, 2058, 67094 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 4593, 2058, 67094 is 1.

Highest Common Factor of 4593,2058,67094 using Euclid's algorithm

Highest Common Factor of 4593,2058,67094 is 1

Step 1: Since 4593 > 2058, we apply the division lemma to 4593 and 2058, to get

4593 = 2058 x 2 + 477

Step 2: Since the reminder 2058 ≠ 0, we apply division lemma to 477 and 2058, to get

2058 = 477 x 4 + 150

Step 3: We consider the new divisor 477 and the new remainder 150, and apply the division lemma to get

477 = 150 x 3 + 27

We consider the new divisor 150 and the new remainder 27,and apply the division lemma to get

150 = 27 x 5 + 15

We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get

27 = 15 x 1 + 12

We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get

15 = 12 x 1 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4593 and 2058 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(150,27) = HCF(477,150) = HCF(2058,477) = HCF(4593,2058) .

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

Step 1: Since 67094 > 3, we apply the division lemma to 67094 and 3, to get

67094 = 3 x 22364 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 67094 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(67094,3) .

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Frequently Asked Questions on HCF of 4593, 2058, 67094 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 4593, 2058, 67094?

Answer: HCF of 4593, 2058, 67094 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4593, 2058, 67094 using Euclid's Algorithm?

Answer: For arbitrary numbers 4593, 2058, 67094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.