Highest Common Factor of 808, 643 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 808, 643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 808, 643 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 808, 643 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 808, 643 is 1.
HCF(808, 643) = 1
HCF of 808, 643 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 808, 643 is 1.
Highest Common Factor of 808,643 is 1
Step 1: Since 808 > 643, we apply the division lemma to 808 and 643, to get
808 = 643 x 1 + 165
Step 2: Since the reminder 643 ≠ 0, we apply division lemma to 165 and 643, to get
643 = 165 x 3 + 148
Step 3: We consider the new divisor 165 and the new remainder 148, and apply the division lemma to get
165 = 148 x 1 + 17
We consider the new divisor 148 and the new remainder 17,and apply the division lemma to get
148 = 17 x 8 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 808 and 643 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(148,17) = HCF(165,148) = HCF(643,165) = HCF(808,643) .
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Frequently Asked Questions on HCF of 808, 643 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 808, 643?
Answer: HCF of 808, 643 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 808, 643 using Euclid's Algorithm?
Answer: For arbitrary numbers 808, 643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.