Highest Common Factor of 3617, 4165 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, 4165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3617, 4165 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, 4165 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, 4165 is 1.
HCF(3617, 4165) = 1
HCF of 3617, 4165 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, 4165 is 1.
Highest Common Factor of 3617,4165 is 1
Step 1: Since 4165 > 3617, we apply the division lemma to 4165 and 3617, to get
4165 = 3617 x 1 + 548
Step 2: Since the reminder 3617 ≠ 0, we apply division lemma to 548 and 3617, to get
3617 = 548 x 6 + 329
Step 3: We consider the new divisor 548 and the new remainder 329, and apply the division lemma to get
548 = 329 x 1 + 219
We consider the new divisor 329 and the new remainder 219,and apply the division lemma to get
329 = 219 x 1 + 110
We consider the new divisor 219 and the new remainder 110,and apply the division lemma to get
219 = 110 x 1 + 109
We consider the new divisor 110 and the new remainder 109,and apply the division lemma to get
110 = 109 x 1 + 1
We consider the new divisor 109 and the new remainder 1,and apply the division lemma to get
109 = 1 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3617 and 4165 is 1
Notice that 1 = HCF(109,1) = HCF(110,109) = HCF(219,110) = HCF(329,219) = HCF(548,329) = HCF(3617,548) = HCF(4165,3617) .
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Frequently Asked Questions on HCF of 3617, 4165 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, 4165?
Answer: HCF of 3617, 4165 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3617, 4165 using Euclid's Algorithm?
Answer: For arbitrary numbers 3617, 4165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.