Highest Common Factor of 2297, 6266 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 2297, 6266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2297, 6266 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 2297, 6266 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 2297, 6266 is 1.
HCF(2297, 6266) = 1
HCF of 2297, 6266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2297, 6266 is 1.
Highest Common Factor of 2297,6266 is 1
Step 1: Since 6266 > 2297, we apply the division lemma to 6266 and 2297, to get
6266 = 2297 x 2 + 1672
Step 2: Since the reminder 2297 ≠ 0, we apply division lemma to 1672 and 2297, to get
2297 = 1672 x 1 + 625
Step 3: We consider the new divisor 1672 and the new remainder 625, and apply the division lemma to get
1672 = 625 x 2 + 422
We consider the new divisor 625 and the new remainder 422,and apply the division lemma to get
625 = 422 x 1 + 203
We consider the new divisor 422 and the new remainder 203,and apply the division lemma to get
422 = 203 x 2 + 16
We consider the new divisor 203 and the new remainder 16,and apply the division lemma to get
203 = 16 x 12 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2297 and 6266 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(203,16) = HCF(422,203) = HCF(625,422) = HCF(1672,625) = HCF(2297,1672) = HCF(6266,2297) .
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Frequently Asked Questions on HCF of 2297, 6266 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 2297, 6266?
Answer: HCF of 2297, 6266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2297, 6266 using Euclid's Algorithm?
Answer: For arbitrary numbers 2297, 6266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.