Highest Common Factor of 8217, 2093 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 8217, 2093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8217, 2093 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 8217, 2093 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 8217, 2093 is 1.
HCF(8217, 2093) = 1
HCF of 8217, 2093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8217, 2093 is 1.
Highest Common Factor of 8217,2093 is 1
Step 1: Since 8217 > 2093, we apply the division lemma to 8217 and 2093, to get
8217 = 2093 x 3 + 1938
Step 2: Since the reminder 2093 ≠ 0, we apply division lemma to 1938 and 2093, to get
2093 = 1938 x 1 + 155
Step 3: We consider the new divisor 1938 and the new remainder 155, and apply the division lemma to get
1938 = 155 x 12 + 78
We consider the new divisor 155 and the new remainder 78,and apply the division lemma to get
155 = 78 x 1 + 77
We consider the new divisor 78 and the new remainder 77,and apply the division lemma to get
78 = 77 x 1 + 1
We consider the new divisor 77 and the new remainder 1,and apply the division lemma to get
77 = 1 x 77 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8217 and 2093 is 1
Notice that 1 = HCF(77,1) = HCF(78,77) = HCF(155,78) = HCF(1938,155) = HCF(2093,1938) = HCF(8217,2093) .
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Frequently Asked Questions on HCF of 8217, 2093 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 8217, 2093?
Answer: HCF of 8217, 2093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8217, 2093 using Euclid's Algorithm?
Answer: For arbitrary numbers 8217, 2093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.