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 9661, 9372, 61683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9661, 9372, 61683 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 9661, 9372, 61683 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 9661, 9372, 61683 is 1.
HCF(9661, 9372, 61683) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9661, 9372, 61683 is 1.
Step 1: Since 9661 > 9372, we apply the division lemma to 9661 and 9372, to get
9661 = 9372 x 1 + 289
Step 2: Since the reminder 9372 ≠ 0, we apply division lemma to 289 and 9372, to get
9372 = 289 x 32 + 124
Step 3: We consider the new divisor 289 and the new remainder 124, and apply the division lemma to get
289 = 124 x 2 + 41
We consider the new divisor 124 and the new remainder 41,and apply the division lemma to get
124 = 41 x 3 + 1
We consider the new divisor 41 and the new remainder 1,and apply the division lemma to get
41 = 1 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9661 and 9372 is 1
Notice that 1 = HCF(41,1) = HCF(124,41) = HCF(289,124) = HCF(9372,289) = HCF(9661,9372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61683 > 1, we apply the division lemma to 61683 and 1, to get
61683 = 1 x 61683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61683 is 1
Notice that 1 = HCF(61683,1) .
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 9661, 9372, 61683?
Answer: HCF of 9661, 9372, 61683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9661, 9372, 61683 using Euclid's Algorithm?
Answer: For arbitrary numbers 9661, 9372, 61683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.