Highest Common Factor of 5933, 9698 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 5933, 9698 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5933, 9698 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 5933, 9698 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 5933, 9698 is 1.

HCF(5933, 9698) = 1

HCF of 5933, 9698 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 5933, 9698 is 1.

Highest Common Factor of 5933,9698 using Euclid's algorithm

Highest Common Factor of 5933,9698 is 1

Step 1: Since 9698 > 5933, we apply the division lemma to 9698 and 5933, to get

9698 = 5933 x 1 + 3765

Step 2: Since the reminder 5933 ≠ 0, we apply division lemma to 3765 and 5933, to get

5933 = 3765 x 1 + 2168

Step 3: We consider the new divisor 3765 and the new remainder 2168, and apply the division lemma to get

3765 = 2168 x 1 + 1597

We consider the new divisor 2168 and the new remainder 1597,and apply the division lemma to get

2168 = 1597 x 1 + 571

We consider the new divisor 1597 and the new remainder 571,and apply the division lemma to get

1597 = 571 x 2 + 455

We consider the new divisor 571 and the new remainder 455,and apply the division lemma to get

571 = 455 x 1 + 116

We consider the new divisor 455 and the new remainder 116,and apply the division lemma to get

455 = 116 x 3 + 107

We consider the new divisor 116 and the new remainder 107,and apply the division lemma to get

116 = 107 x 1 + 9

We consider the new divisor 107 and the new remainder 9,and apply the division lemma to get

107 = 9 x 11 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5933 and 9698 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(107,9) = HCF(116,107) = HCF(455,116) = HCF(571,455) = HCF(1597,571) = HCF(2168,1597) = HCF(3765,2168) = HCF(5933,3765) = HCF(9698,5933) .

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Frequently Asked Questions on HCF of 5933, 9698 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 5933, 9698?

Answer: HCF of 5933, 9698 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5933, 9698 using Euclid's Algorithm?

Answer: For arbitrary numbers 5933, 9698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.