Highest Common Factor of 2257, 9230 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 2257, 9230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2257, 9230 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 2257, 9230 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 2257, 9230 is 1.
HCF(2257, 9230) = 1
HCF of 2257, 9230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2257, 9230 is 1.
Highest Common Factor of 2257,9230 is 1
Step 1: Since 9230 > 2257, we apply the division lemma to 9230 and 2257, to get
9230 = 2257 x 4 + 202
Step 2: Since the reminder 2257 ≠ 0, we apply division lemma to 202 and 2257, to get
2257 = 202 x 11 + 35
Step 3: We consider the new divisor 202 and the new remainder 35, and apply the division lemma to get
202 = 35 x 5 + 27
We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get
35 = 27 x 1 + 8
We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get
27 = 8 x 3 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2257 and 9230 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(202,35) = HCF(2257,202) = HCF(9230,2257) .
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Frequently Asked Questions on HCF of 2257, 9230 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 2257, 9230?
Answer: HCF of 2257, 9230 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2257, 9230 using Euclid's Algorithm?
Answer: For arbitrary numbers 2257, 9230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
