Highest Common Factor of 4032, 9627 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 4032, 9627 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4032, 9627 is 3 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 4032, 9627 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 4032, 9627 is 3.
HCF(4032, 9627) = 3
HCF of 4032, 9627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4032, 9627 is 3.
Highest Common Factor of 4032,9627 is 3
Step 1: Since 9627 > 4032, we apply the division lemma to 9627 and 4032, to get
9627 = 4032 x 2 + 1563
Step 2: Since the reminder 4032 ≠ 0, we apply division lemma to 1563 and 4032, to get
4032 = 1563 x 2 + 906
Step 3: We consider the new divisor 1563 and the new remainder 906, and apply the division lemma to get
1563 = 906 x 1 + 657
We consider the new divisor 906 and the new remainder 657,and apply the division lemma to get
906 = 657 x 1 + 249
We consider the new divisor 657 and the new remainder 249,and apply the division lemma to get
657 = 249 x 2 + 159
We consider the new divisor 249 and the new remainder 159,and apply the division lemma to get
249 = 159 x 1 + 90
We consider the new divisor 159 and the new remainder 90,and apply the division lemma to get
159 = 90 x 1 + 69
We consider the new divisor 90 and the new remainder 69,and apply the division lemma to get
90 = 69 x 1 + 21
We consider the new divisor 69 and the new remainder 21,and apply the division lemma to get
69 = 21 x 3 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4032 and 9627 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(69,21) = HCF(90,69) = HCF(159,90) = HCF(249,159) = HCF(657,249) = HCF(906,657) = HCF(1563,906) = HCF(4032,1563) = HCF(9627,4032) .
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Frequently Asked Questions on HCF of 4032, 9627 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 4032, 9627?
Answer: HCF of 4032, 9627 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4032, 9627 using Euclid's Algorithm?
Answer: For arbitrary numbers 4032, 9627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.