Highest Common Factor of 9321, 5398 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 9321, 5398 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9321, 5398 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 9321, 5398 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 9321, 5398 is 1.

HCF(9321, 5398) = 1

HCF of 9321, 5398 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 9321, 5398 is 1.

Highest Common Factor of 9321,5398 using Euclid's algorithm

Highest Common Factor of 9321,5398 is 1

Step 1: Since 9321 > 5398, we apply the division lemma to 9321 and 5398, to get

9321 = 5398 x 1 + 3923

Step 2: Since the reminder 5398 ≠ 0, we apply division lemma to 3923 and 5398, to get

5398 = 3923 x 1 + 1475

Step 3: We consider the new divisor 3923 and the new remainder 1475, and apply the division lemma to get

3923 = 1475 x 2 + 973

We consider the new divisor 1475 and the new remainder 973,and apply the division lemma to get

1475 = 973 x 1 + 502

We consider the new divisor 973 and the new remainder 502,and apply the division lemma to get

973 = 502 x 1 + 471

We consider the new divisor 502 and the new remainder 471,and apply the division lemma to get

502 = 471 x 1 + 31

We consider the new divisor 471 and the new remainder 31,and apply the division lemma to get

471 = 31 x 15 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9321 and 5398 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(471,31) = HCF(502,471) = HCF(973,502) = HCF(1475,973) = HCF(3923,1475) = HCF(5398,3923) = HCF(9321,5398) .

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Frequently Asked Questions on HCF of 9321, 5398 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 9321, 5398?

Answer: HCF of 9321, 5398 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9321, 5398 using Euclid's Algorithm?

Answer: For arbitrary numbers 9321, 5398 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.