Highest Common Factor of 3442, 9653 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 3442, 9653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3442, 9653 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 3442, 9653 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 3442, 9653 is 1.
HCF(3442, 9653) = 1
HCF of 3442, 9653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3442, 9653 is 1.
Highest Common Factor of 3442,9653 is 1
Step 1: Since 9653 > 3442, we apply the division lemma to 9653 and 3442, to get
9653 = 3442 x 2 + 2769
Step 2: Since the reminder 3442 ≠ 0, we apply division lemma to 2769 and 3442, to get
3442 = 2769 x 1 + 673
Step 3: We consider the new divisor 2769 and the new remainder 673, and apply the division lemma to get
2769 = 673 x 4 + 77
We consider the new divisor 673 and the new remainder 77,and apply the division lemma to get
673 = 77 x 8 + 57
We consider the new divisor 77 and the new remainder 57,and apply the division lemma to get
77 = 57 x 1 + 20
We consider the new divisor 57 and the new remainder 20,and apply the division lemma to get
57 = 20 x 2 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 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 3442 and 9653 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(57,20) = HCF(77,57) = HCF(673,77) = HCF(2769,673) = HCF(3442,2769) = HCF(9653,3442) .
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Frequently Asked Questions on HCF of 3442, 9653 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 3442, 9653?
Answer: HCF of 3442, 9653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3442, 9653 using Euclid's Algorithm?
Answer: For arbitrary numbers 3442, 9653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
