Highest Common Factor of 9659, 4533 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 9659, 4533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9659, 4533 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 9659, 4533 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 9659, 4533 is 1.
HCF(9659, 4533) = 1
HCF of 9659, 4533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9659, 4533 is 1.
Highest Common Factor of 9659,4533 is 1
Step 1: Since 9659 > 4533, we apply the division lemma to 9659 and 4533, to get
9659 = 4533 x 2 + 593
Step 2: Since the reminder 4533 ≠ 0, we apply division lemma to 593 and 4533, to get
4533 = 593 x 7 + 382
Step 3: We consider the new divisor 593 and the new remainder 382, and apply the division lemma to get
593 = 382 x 1 + 211
We consider the new divisor 382 and the new remainder 211,and apply the division lemma to get
382 = 211 x 1 + 171
We consider the new divisor 211 and the new remainder 171,and apply the division lemma to get
211 = 171 x 1 + 40
We consider the new divisor 171 and the new remainder 40,and apply the division lemma to get
171 = 40 x 4 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9659 and 4533 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(171,40) = HCF(211,171) = HCF(382,211) = HCF(593,382) = HCF(4533,593) = HCF(9659,4533) .
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Frequently Asked Questions on HCF of 9659, 4533 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 9659, 4533?
Answer: HCF of 9659, 4533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9659, 4533 using Euclid's Algorithm?
Answer: For arbitrary numbers 9659, 4533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.