Highest Common Factor of 9882, 5817 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 9882, 5817 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9882, 5817 is 3 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 9882, 5817 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 9882, 5817 is 3.
HCF(9882, 5817) = 3
HCF of 9882, 5817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9882, 5817 is 3.
Highest Common Factor of 9882,5817 is 3
Step 1: Since 9882 > 5817, we apply the division lemma to 9882 and 5817, to get
9882 = 5817 x 1 + 4065
Step 2: Since the reminder 5817 ≠ 0, we apply division lemma to 4065 and 5817, to get
5817 = 4065 x 1 + 1752
Step 3: We consider the new divisor 4065 and the new remainder 1752, and apply the division lemma to get
4065 = 1752 x 2 + 561
We consider the new divisor 1752 and the new remainder 561,and apply the division lemma to get
1752 = 561 x 3 + 69
We consider the new divisor 561 and the new remainder 69,and apply the division lemma to get
561 = 69 x 8 + 9
We consider the new divisor 69 and the new remainder 9,and apply the division lemma to get
69 = 9 x 7 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9882 and 5817 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(69,9) = HCF(561,69) = HCF(1752,561) = HCF(4065,1752) = HCF(5817,4065) = HCF(9882,5817) .
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Frequently Asked Questions on HCF of 9882, 5817 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 9882, 5817?
Answer: HCF of 9882, 5817 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9882, 5817 using Euclid's Algorithm?
Answer: For arbitrary numbers 9882, 5817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.