Highest Common Factor of 9593, 4460 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 9593, 4460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9593, 4460 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 9593, 4460 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 9593, 4460 is 1.

HCF(9593, 4460) = 1

HCF of 9593, 4460 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 9593, 4460 is 1.

Highest Common Factor of 9593,4460 using Euclid's algorithm

Highest Common Factor of 9593,4460 is 1

Step 1: Since 9593 > 4460, we apply the division lemma to 9593 and 4460, to get

9593 = 4460 x 2 + 673

Step 2: Since the reminder 4460 ≠ 0, we apply division lemma to 673 and 4460, to get

4460 = 673 x 6 + 422

Step 3: We consider the new divisor 673 and the new remainder 422, and apply the division lemma to get

673 = 422 x 1 + 251

We consider the new divisor 422 and the new remainder 251,and apply the division lemma to get

422 = 251 x 1 + 171

We consider the new divisor 251 and the new remainder 171,and apply the division lemma to get

251 = 171 x 1 + 80

We consider the new divisor 171 and the new remainder 80,and apply the division lemma to get

171 = 80 x 2 + 11

We consider the new divisor 80 and the new remainder 11,and apply the division lemma to get

80 = 11 x 7 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 9593 and 4460 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(80,11) = HCF(171,80) = HCF(251,171) = HCF(422,251) = HCF(673,422) = HCF(4460,673) = HCF(9593,4460) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9593, 4460 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 9593, 4460?

Answer: HCF of 9593, 4460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9593, 4460 using Euclid's Algorithm?

Answer: For arbitrary numbers 9593, 4460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.