Highest Common Factor of 2230, 8733 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, 8733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2230, 8733 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, 8733 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, 8733 is 1.
HCF(2230, 8733) = 1
HCF of 2230, 8733 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, 8733 is 1.
Highest Common Factor of 2230,8733 is 1
Step 1: Since 8733 > 2230, we apply the division lemma to 8733 and 2230, to get
8733 = 2230 x 3 + 2043
Step 2: Since the reminder 2230 ≠ 0, we apply division lemma to 2043 and 2230, to get
2230 = 2043 x 1 + 187
Step 3: We consider the new divisor 2043 and the new remainder 187, and apply the division lemma to get
2043 = 187 x 10 + 173
We consider the new divisor 187 and the new remainder 173,and apply the division lemma to get
187 = 173 x 1 + 14
We consider the new divisor 173 and the new remainder 14,and apply the division lemma to get
173 = 14 x 12 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2230 and 8733 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(173,14) = HCF(187,173) = HCF(2043,187) = HCF(2230,2043) = HCF(8733,2230) .
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Frequently Asked Questions on HCF of 2230, 8733 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, 8733?
Answer: HCF of 2230, 8733 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2230, 8733 using Euclid's Algorithm?
Answer: For arbitrary numbers 2230, 8733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
