Highest Common Factor of 9606, 3797 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 9606, 3797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9606, 3797 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 9606, 3797 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 9606, 3797 is 1.
HCF(9606, 3797) = 1
HCF of 9606, 3797 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9606, 3797 is 1.
Highest Common Factor of 9606,3797 is 1
Step 1: Since 9606 > 3797, we apply the division lemma to 9606 and 3797, to get
9606 = 3797 x 2 + 2012
Step 2: Since the reminder 3797 ≠ 0, we apply division lemma to 2012 and 3797, to get
3797 = 2012 x 1 + 1785
Step 3: We consider the new divisor 2012 and the new remainder 1785, and apply the division lemma to get
2012 = 1785 x 1 + 227
We consider the new divisor 1785 and the new remainder 227,and apply the division lemma to get
1785 = 227 x 7 + 196
We consider the new divisor 227 and the new remainder 196,and apply the division lemma to get
227 = 196 x 1 + 31
We consider the new divisor 196 and the new remainder 31,and apply the division lemma to get
196 = 31 x 6 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9606 and 3797 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(196,31) = HCF(227,196) = HCF(1785,227) = HCF(2012,1785) = HCF(3797,2012) = HCF(9606,3797) .
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Frequently Asked Questions on HCF of 9606, 3797 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 9606, 3797?
Answer: HCF of 9606, 3797 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9606, 3797 using Euclid's Algorithm?
Answer: For arbitrary numbers 9606, 3797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.