Highest Common Factor of 3705, 4366 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 3705, 4366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3705, 4366 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 3705, 4366 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 3705, 4366 is 1.
HCF(3705, 4366) = 1
HCF of 3705, 4366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3705, 4366 is 1.
Highest Common Factor of 3705,4366 is 1
Step 1: Since 4366 > 3705, we apply the division lemma to 4366 and 3705, to get
4366 = 3705 x 1 + 661
Step 2: Since the reminder 3705 ≠ 0, we apply division lemma to 661 and 3705, to get
3705 = 661 x 5 + 400
Step 3: We consider the new divisor 661 and the new remainder 400, and apply the division lemma to get
661 = 400 x 1 + 261
We consider the new divisor 400 and the new remainder 261,and apply the division lemma to get
400 = 261 x 1 + 139
We consider the new divisor 261 and the new remainder 139,and apply the division lemma to get
261 = 139 x 1 + 122
We consider the new divisor 139 and the new remainder 122,and apply the division lemma to get
139 = 122 x 1 + 17
We consider the new divisor 122 and the new remainder 17,and apply the division lemma to get
122 = 17 x 7 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3705 and 4366 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(122,17) = HCF(139,122) = HCF(261,139) = HCF(400,261) = HCF(661,400) = HCF(3705,661) = HCF(4366,3705) .
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Frequently Asked Questions on HCF of 3705, 4366 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 3705, 4366?
Answer: HCF of 3705, 4366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3705, 4366 using Euclid's Algorithm?
Answer: For arbitrary numbers 3705, 4366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
