Highest Common Factor of 8216, 5595 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 8216, 5595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8216, 5595 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 8216, 5595 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 8216, 5595 is 1.
HCF(8216, 5595) = 1
HCF of 8216, 5595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8216, 5595 is 1.
Highest Common Factor of 8216,5595 is 1
Step 1: Since 8216 > 5595, we apply the division lemma to 8216 and 5595, to get
8216 = 5595 x 1 + 2621
Step 2: Since the reminder 5595 ≠ 0, we apply division lemma to 2621 and 5595, to get
5595 = 2621 x 2 + 353
Step 3: We consider the new divisor 2621 and the new remainder 353, and apply the division lemma to get
2621 = 353 x 7 + 150
We consider the new divisor 353 and the new remainder 150,and apply the division lemma to get
353 = 150 x 2 + 53
We consider the new divisor 150 and the new remainder 53,and apply the division lemma to get
150 = 53 x 2 + 44
We consider the new divisor 53 and the new remainder 44,and apply the division lemma to get
53 = 44 x 1 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8216 and 5595 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(53,44) = HCF(150,53) = HCF(353,150) = HCF(2621,353) = HCF(5595,2621) = HCF(8216,5595) .
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Frequently Asked Questions on HCF of 8216, 5595 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 8216, 5595?
Answer: HCF of 8216, 5595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8216, 5595 using Euclid's Algorithm?
Answer: For arbitrary numbers 8216, 5595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
