Highest Common Factor of 9721, 3064 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 9721, 3064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9721, 3064 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 9721, 3064 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 9721, 3064 is 1.

HCF(9721, 3064) = 1

HCF of 9721, 3064 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 9721, 3064 is 1.

Highest Common Factor of 9721,3064 using Euclid's algorithm

Highest Common Factor of 9721,3064 is 1

Step 1: Since 9721 > 3064, we apply the division lemma to 9721 and 3064, to get

9721 = 3064 x 3 + 529

Step 2: Since the reminder 3064 ≠ 0, we apply division lemma to 529 and 3064, to get

3064 = 529 x 5 + 419

Step 3: We consider the new divisor 529 and the new remainder 419, and apply the division lemma to get

529 = 419 x 1 + 110

We consider the new divisor 419 and the new remainder 110,and apply the division lemma to get

419 = 110 x 3 + 89

We consider the new divisor 110 and the new remainder 89,and apply the division lemma to get

110 = 89 x 1 + 21

We consider the new divisor 89 and the new remainder 21,and apply the division lemma to get

89 = 21 x 4 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9721 and 3064 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(89,21) = HCF(110,89) = HCF(419,110) = HCF(529,419) = HCF(3064,529) = HCF(9721,3064) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9721, 3064 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 9721, 3064?

Answer: HCF of 9721, 3064 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9721, 3064 using Euclid's Algorithm?

Answer: For arbitrary numbers 9721, 3064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.