Highest Common Factor of 9354, 3659 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 9354, 3659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9354, 3659 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 9354, 3659 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 9354, 3659 is 1.
HCF(9354, 3659) = 1
HCF of 9354, 3659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9354, 3659 is 1.
Highest Common Factor of 9354,3659 is 1
Step 1: Since 9354 > 3659, we apply the division lemma to 9354 and 3659, to get
9354 = 3659 x 2 + 2036
Step 2: Since the reminder 3659 ≠ 0, we apply division lemma to 2036 and 3659, to get
3659 = 2036 x 1 + 1623
Step 3: We consider the new divisor 2036 and the new remainder 1623, and apply the division lemma to get
2036 = 1623 x 1 + 413
We consider the new divisor 1623 and the new remainder 413,and apply the division lemma to get
1623 = 413 x 3 + 384
We consider the new divisor 413 and the new remainder 384,and apply the division lemma to get
413 = 384 x 1 + 29
We consider the new divisor 384 and the new remainder 29,and apply the division lemma to get
384 = 29 x 13 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9354 and 3659 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(384,29) = HCF(413,384) = HCF(1623,413) = HCF(2036,1623) = HCF(3659,2036) = HCF(9354,3659) .
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Frequently Asked Questions on HCF of 9354, 3659 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 9354, 3659?
Answer: HCF of 9354, 3659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9354, 3659 using Euclid's Algorithm?
Answer: For arbitrary numbers 9354, 3659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.