Highest Common Factor of 2230, 6097 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 2230, 6097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2230, 6097 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 2230, 6097 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 2230, 6097 is 1.
HCF(2230, 6097) = 1
HCF of 2230, 6097 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2230, 6097 is 1.
Highest Common Factor of 2230,6097 is 1
Step 1: Since 6097 > 2230, we apply the division lemma to 6097 and 2230, to get
6097 = 2230 x 2 + 1637
Step 2: Since the reminder 2230 ≠ 0, we apply division lemma to 1637 and 2230, to get
2230 = 1637 x 1 + 593
Step 3: We consider the new divisor 1637 and the new remainder 593, and apply the division lemma to get
1637 = 593 x 2 + 451
We consider the new divisor 593 and the new remainder 451,and apply the division lemma to get
593 = 451 x 1 + 142
We consider the new divisor 451 and the new remainder 142,and apply the division lemma to get
451 = 142 x 3 + 25
We consider the new divisor 142 and the new remainder 25,and apply the division lemma to get
142 = 25 x 5 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 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 2230 and 6097 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(142,25) = HCF(451,142) = HCF(593,451) = HCF(1637,593) = HCF(2230,1637) = HCF(6097,2230) .
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Frequently Asked Questions on HCF of 2230, 6097 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 2230, 6097?
Answer: HCF of 2230, 6097 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2230, 6097 using Euclid's Algorithm?
Answer: For arbitrary numbers 2230, 6097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.