Highest Common Factor of 2395, 9027 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, 9027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2395, 9027 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, 9027 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, 9027 is 1.
HCF(2395, 9027) = 1
HCF of 2395, 9027 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, 9027 is 1.
Highest Common Factor of 2395,9027 is 1
Step 1: Since 9027 > 2395, we apply the division lemma to 9027 and 2395, to get
9027 = 2395 x 3 + 1842
Step 2: Since the reminder 2395 ≠ 0, we apply division lemma to 1842 and 2395, to get
2395 = 1842 x 1 + 553
Step 3: We consider the new divisor 1842 and the new remainder 553, and apply the division lemma to get
1842 = 553 x 3 + 183
We consider the new divisor 553 and the new remainder 183,and apply the division lemma to get
553 = 183 x 3 + 4
We consider the new divisor 183 and the new remainder 4,and apply the division lemma to get
183 = 4 x 45 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 9027 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(183,4) = HCF(553,183) = HCF(1842,553) = HCF(2395,1842) = HCF(9027,2395) .
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Frequently Asked Questions on HCF of 2395, 9027 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, 9027?
Answer: HCF of 2395, 9027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2395, 9027 using Euclid's Algorithm?
Answer: For arbitrary numbers 2395, 9027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
