Highest Common Factor of 3651, 3805 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 3651, 3805 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3651, 3805 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 3651, 3805 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 3651, 3805 is 1.
HCF(3651, 3805) = 1
HCF of 3651, 3805 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3651, 3805 is 1.
Highest Common Factor of 3651,3805 is 1
Step 1: Since 3805 > 3651, we apply the division lemma to 3805 and 3651, to get
3805 = 3651 x 1 + 154
Step 2: Since the reminder 3651 ≠ 0, we apply division lemma to 154 and 3651, to get
3651 = 154 x 23 + 109
Step 3: We consider the new divisor 154 and the new remainder 109, and apply the division lemma to get
154 = 109 x 1 + 45
We consider the new divisor 109 and the new remainder 45,and apply the division lemma to get
109 = 45 x 2 + 19
We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get
45 = 19 x 2 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 3651 and 3805 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(109,45) = HCF(154,109) = HCF(3651,154) = HCF(3805,3651) .
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Frequently Asked Questions on HCF of 3651, 3805 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 3651, 3805?
Answer: HCF of 3651, 3805 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3651, 3805 using Euclid's Algorithm?
Answer: For arbitrary numbers 3651, 3805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.