Highest Common Factor of 3282, 9632 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 3282, 9632 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3282, 9632 is 2 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 3282, 9632 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 3282, 9632 is 2.
HCF(3282, 9632) = 2
HCF of 3282, 9632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3282, 9632 is 2.
Highest Common Factor of 3282,9632 is 2
Step 1: Since 9632 > 3282, we apply the division lemma to 9632 and 3282, to get
9632 = 3282 x 2 + 3068
Step 2: Since the reminder 3282 ≠ 0, we apply division lemma to 3068 and 3282, to get
3282 = 3068 x 1 + 214
Step 3: We consider the new divisor 3068 and the new remainder 214, and apply the division lemma to get
3068 = 214 x 14 + 72
We consider the new divisor 214 and the new remainder 72,and apply the division lemma to get
214 = 72 x 2 + 70
We consider the new divisor 72 and the new remainder 70,and apply the division lemma to get
72 = 70 x 1 + 2
We consider the new divisor 70 and the new remainder 2,and apply the division lemma to get
70 = 2 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3282 and 9632 is 2
Notice that 2 = HCF(70,2) = HCF(72,70) = HCF(214,72) = HCF(3068,214) = HCF(3282,3068) = HCF(9632,3282) .
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Frequently Asked Questions on HCF of 3282, 9632 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 3282, 9632?
Answer: HCF of 3282, 9632 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3282, 9632 using Euclid's Algorithm?
Answer: For arbitrary numbers 3282, 9632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.