Highest Common Factor of 4594, 3995 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 4594, 3995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4594, 3995 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 4594, 3995 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 4594, 3995 is 1.

HCF(4594, 3995) = 1

HCF of 4594, 3995 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 4594, 3995 is 1.

Highest Common Factor of 4594,3995 using Euclid's algorithm

Highest Common Factor of 4594,3995 is 1

Step 1: Since 4594 > 3995, we apply the division lemma to 4594 and 3995, to get

4594 = 3995 x 1 + 599

Step 2: Since the reminder 3995 ≠ 0, we apply division lemma to 599 and 3995, to get

3995 = 599 x 6 + 401

Step 3: We consider the new divisor 599 and the new remainder 401, and apply the division lemma to get

599 = 401 x 1 + 198

We consider the new divisor 401 and the new remainder 198,and apply the division lemma to get

401 = 198 x 2 + 5

We consider the new divisor 198 and the new remainder 5,and apply the division lemma to get

198 = 5 x 39 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 4594 and 3995 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(198,5) = HCF(401,198) = HCF(599,401) = HCF(3995,599) = HCF(4594,3995) .

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Frequently Asked Questions on HCF of 4594, 3995 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 4594, 3995?

Answer: HCF of 4594, 3995 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4594, 3995 using Euclid's Algorithm?

Answer: For arbitrary numbers 4594, 3995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.