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
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) 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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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.