Highest Common Factor of 6619, 9882 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 6619, 9882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6619, 9882 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 6619, 9882 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 6619, 9882 is 1.
HCF(6619, 9882) = 1
HCF of 6619, 9882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6619, 9882 is 1.
Highest Common Factor of 6619,9882 is 1
Step 1: Since 9882 > 6619, we apply the division lemma to 9882 and 6619, to get
9882 = 6619 x 1 + 3263
Step 2: Since the reminder 6619 ≠ 0, we apply division lemma to 3263 and 6619, to get
6619 = 3263 x 2 + 93
Step 3: We consider the new divisor 3263 and the new remainder 93, and apply the division lemma to get
3263 = 93 x 35 + 8
We consider the new divisor 93 and the new remainder 8,and apply the division lemma to get
93 = 8 x 11 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6619 and 9882 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(93,8) = HCF(3263,93) = HCF(6619,3263) = HCF(9882,6619) .
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Frequently Asked Questions on HCF of 6619, 9882 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 6619, 9882?
Answer: HCF of 6619, 9882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6619, 9882 using Euclid's Algorithm?
Answer: For arbitrary numbers 6619, 9882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.