Highest Common Factor of 3617, 2267 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 3617, 2267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3617, 2267 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 3617, 2267 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 3617, 2267 is 1.
HCF(3617, 2267) = 1
HCF of 3617, 2267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3617, 2267 is 1.
Highest Common Factor of 3617,2267 is 1
Step 1: Since 3617 > 2267, we apply the division lemma to 3617 and 2267, to get
3617 = 2267 x 1 + 1350
Step 2: Since the reminder 2267 ≠ 0, we apply division lemma to 1350 and 2267, to get
2267 = 1350 x 1 + 917
Step 3: We consider the new divisor 1350 and the new remainder 917, and apply the division lemma to get
1350 = 917 x 1 + 433
We consider the new divisor 917 and the new remainder 433,and apply the division lemma to get
917 = 433 x 2 + 51
We consider the new divisor 433 and the new remainder 51,and apply the division lemma to get
433 = 51 x 8 + 25
We consider the new divisor 51 and the new remainder 25,and apply the division lemma to get
51 = 25 x 2 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3617 and 2267 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(433,51) = HCF(917,433) = HCF(1350,917) = HCF(2267,1350) = HCF(3617,2267) .
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Frequently Asked Questions on HCF of 3617, 2267 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 3617, 2267?
Answer: HCF of 3617, 2267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3617, 2267 using Euclid's Algorithm?
Answer: For arbitrary numbers 3617, 2267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
