Highest Common Factor of 9063, 3197 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 9063, 3197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9063, 3197 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 9063, 3197 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 9063, 3197 is 1.
HCF(9063, 3197) = 1
HCF of 9063, 3197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9063, 3197 is 1.
Highest Common Factor of 9063,3197 is 1
Step 1: Since 9063 > 3197, we apply the division lemma to 9063 and 3197, to get
9063 = 3197 x 2 + 2669
Step 2: Since the reminder 3197 ≠ 0, we apply division lemma to 2669 and 3197, to get
3197 = 2669 x 1 + 528
Step 3: We consider the new divisor 2669 and the new remainder 528, and apply the division lemma to get
2669 = 528 x 5 + 29
We consider the new divisor 528 and the new remainder 29,and apply the division lemma to get
528 = 29 x 18 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 9063 and 3197 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(528,29) = HCF(2669,528) = HCF(3197,2669) = HCF(9063,3197) .
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Frequently Asked Questions on HCF of 9063, 3197 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 9063, 3197?
Answer: HCF of 9063, 3197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9063, 3197 using Euclid's Algorithm?
Answer: For arbitrary numbers 9063, 3197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.