Highest Common Factor of 3618, 8361 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 3618, 8361 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3618, 8361 is 9 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 3618, 8361 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 3618, 8361 is 9.
HCF(3618, 8361) = 9
HCF of 3618, 8361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3618, 8361 is 9.
Highest Common Factor of 3618,8361 is 9
Step 1: Since 8361 > 3618, we apply the division lemma to 8361 and 3618, to get
8361 = 3618 x 2 + 1125
Step 2: Since the reminder 3618 ≠ 0, we apply division lemma to 1125 and 3618, to get
3618 = 1125 x 3 + 243
Step 3: We consider the new divisor 1125 and the new remainder 243, and apply the division lemma to get
1125 = 243 x 4 + 153
We consider the new divisor 243 and the new remainder 153,and apply the division lemma to get
243 = 153 x 1 + 90
We consider the new divisor 153 and the new remainder 90,and apply the division lemma to get
153 = 90 x 1 + 63
We consider the new divisor 90 and the new remainder 63,and apply the division lemma to get
90 = 63 x 1 + 27
We consider the new divisor 63 and the new remainder 27,and apply the division lemma to get
63 = 27 x 2 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3618 and 8361 is 9
Notice that 9 = HCF(27,9) = HCF(63,27) = HCF(90,63) = HCF(153,90) = HCF(243,153) = HCF(1125,243) = HCF(3618,1125) = HCF(8361,3618) .
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Frequently Asked Questions on HCF of 3618, 8361 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 3618, 8361?
Answer: HCF of 3618, 8361 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3618, 8361 using Euclid's Algorithm?
Answer: For arbitrary numbers 3618, 8361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.