Highest Common Factor of 3698, 9405 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 3698, 9405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3698, 9405 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 3698, 9405 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 3698, 9405 is 1.
HCF(3698, 9405) = 1
HCF of 3698, 9405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3698, 9405 is 1.
Highest Common Factor of 3698,9405 is 1
Step 1: Since 9405 > 3698, we apply the division lemma to 9405 and 3698, to get
9405 = 3698 x 2 + 2009
Step 2: Since the reminder 3698 ≠ 0, we apply division lemma to 2009 and 3698, to get
3698 = 2009 x 1 + 1689
Step 3: We consider the new divisor 2009 and the new remainder 1689, and apply the division lemma to get
2009 = 1689 x 1 + 320
We consider the new divisor 1689 and the new remainder 320,and apply the division lemma to get
1689 = 320 x 5 + 89
We consider the new divisor 320 and the new remainder 89,and apply the division lemma to get
320 = 89 x 3 + 53
We consider the new divisor 89 and the new remainder 53,and apply the division lemma to get
89 = 53 x 1 + 36
We consider the new divisor 53 and the new remainder 36,and apply the division lemma to get
53 = 36 x 1 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 3698 and 9405 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(53,36) = HCF(89,53) = HCF(320,89) = HCF(1689,320) = HCF(2009,1689) = HCF(3698,2009) = HCF(9405,3698) .
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Frequently Asked Questions on HCF of 3698, 9405 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 3698, 9405?
Answer: HCF of 3698, 9405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3698, 9405 using Euclid's Algorithm?
Answer: For arbitrary numbers 3698, 9405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.