Highest Common Factor of 9593, 3954 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, 3954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9593, 3954 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, 3954 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, 3954 is 1.

HCF(9593, 3954) = 1

HCF of 9593, 3954 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, 3954 is 1.

Highest Common Factor of 9593,3954 using Euclid's algorithm

Highest Common Factor of 9593,3954 is 1

Step 1: Since 9593 > 3954, we apply the division lemma to 9593 and 3954, to get

9593 = 3954 x 2 + 1685

Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 1685 and 3954, to get

3954 = 1685 x 2 + 584

Step 3: We consider the new divisor 1685 and the new remainder 584, and apply the division lemma to get

1685 = 584 x 2 + 517

We consider the new divisor 584 and the new remainder 517,and apply the division lemma to get

584 = 517 x 1 + 67

We consider the new divisor 517 and the new remainder 67,and apply the division lemma to get

517 = 67 x 7 + 48

We consider the new divisor 67 and the new remainder 48,and apply the division lemma to get

67 = 48 x 1 + 19

We consider the new divisor 48 and the new remainder 19,and apply the division lemma to get

48 = 19 x 2 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9593 and 3954 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(48,19) = HCF(67,48) = HCF(517,67) = HCF(584,517) = HCF(1685,584) = HCF(3954,1685) = HCF(9593,3954) .

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Frequently Asked Questions on HCF of 9593, 3954 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, 3954?

Answer: HCF of 9593, 3954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9593, 3954 using Euclid's Algorithm?

Answer: For arbitrary numbers 9593, 3954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.