Highest Common Factor of 2395, 8067 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 2395, 8067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2395, 8067 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 2395, 8067 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 2395, 8067 is 1.
HCF(2395, 8067) = 1
HCF of 2395, 8067 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2395, 8067 is 1.
Highest Common Factor of 2395,8067 is 1
Step 1: Since 8067 > 2395, we apply the division lemma to 8067 and 2395, to get
8067 = 2395 x 3 + 882
Step 2: Since the reminder 2395 ≠ 0, we apply division lemma to 882 and 2395, to get
2395 = 882 x 2 + 631
Step 3: We consider the new divisor 882 and the new remainder 631, and apply the division lemma to get
882 = 631 x 1 + 251
We consider the new divisor 631 and the new remainder 251,and apply the division lemma to get
631 = 251 x 2 + 129
We consider the new divisor 251 and the new remainder 129,and apply the division lemma to get
251 = 129 x 1 + 122
We consider the new divisor 129 and the new remainder 122,and apply the division lemma to get
129 = 122 x 1 + 7
We consider the new divisor 122 and the new remainder 7,and apply the division lemma to get
122 = 7 x 17 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2395 and 8067 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(122,7) = HCF(129,122) = HCF(251,129) = HCF(631,251) = HCF(882,631) = HCF(2395,882) = HCF(8067,2395) .
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Frequently Asked Questions on HCF of 2395, 8067 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 2395, 8067?
Answer: HCF of 2395, 8067 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2395, 8067 using Euclid's Algorithm?
Answer: For arbitrary numbers 2395, 8067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.