Highest Common Factor of 9909, 6583, 84630 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 9909, 6583, 84630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9909, 6583, 84630 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 9909, 6583, 84630 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 9909, 6583, 84630 is 1.

HCF(9909, 6583, 84630) = 1

HCF of 9909, 6583, 84630 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 9909, 6583, 84630 is 1.

Highest Common Factor of 9909,6583,84630 using Euclid's algorithm

Highest Common Factor of 9909,6583,84630 is 1

Step 1: Since 9909 > 6583, we apply the division lemma to 9909 and 6583, to get

9909 = 6583 x 1 + 3326

Step 2: Since the reminder 6583 ≠ 0, we apply division lemma to 3326 and 6583, to get

6583 = 3326 x 1 + 3257

Step 3: We consider the new divisor 3326 and the new remainder 3257, and apply the division lemma to get

3326 = 3257 x 1 + 69

We consider the new divisor 3257 and the new remainder 69,and apply the division lemma to get

3257 = 69 x 47 + 14

We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get

69 = 14 x 4 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9909 and 6583 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(3257,69) = HCF(3326,3257) = HCF(6583,3326) = HCF(9909,6583) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 84630 > 1, we apply the division lemma to 84630 and 1, to get

84630 = 1 x 84630 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84630 is 1

Notice that 1 = HCF(84630,1) .

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Frequently Asked Questions on HCF of 9909, 6583, 84630 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 9909, 6583, 84630?

Answer: HCF of 9909, 6583, 84630 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9909, 6583, 84630 using Euclid's Algorithm?

Answer: For arbitrary numbers 9909, 6583, 84630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.