Highest Common Factor of 5832, 9630 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 5832, 9630 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 5832, 9630 is 18 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 5832, 9630 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 5832, 9630 is 18.
HCF(5832, 9630) = 18
HCF of 5832, 9630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5832, 9630 is 18.
Highest Common Factor of 5832,9630 is 18
Step 1: Since 9630 > 5832, we apply the division lemma to 9630 and 5832, to get
9630 = 5832 x 1 + 3798
Step 2: Since the reminder 5832 ≠ 0, we apply division lemma to 3798 and 5832, to get
5832 = 3798 x 1 + 2034
Step 3: We consider the new divisor 3798 and the new remainder 2034, and apply the division lemma to get
3798 = 2034 x 1 + 1764
We consider the new divisor 2034 and the new remainder 1764,and apply the division lemma to get
2034 = 1764 x 1 + 270
We consider the new divisor 1764 and the new remainder 270,and apply the division lemma to get
1764 = 270 x 6 + 144
We consider the new divisor 270 and the new remainder 144,and apply the division lemma to get
270 = 144 x 1 + 126
We consider the new divisor 144 and the new remainder 126,and apply the division lemma to get
144 = 126 x 1 + 18
We consider the new divisor 126 and the new remainder 18,and apply the division lemma to get
126 = 18 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 5832 and 9630 is 18
Notice that 18 = HCF(126,18) = HCF(144,126) = HCF(270,144) = HCF(1764,270) = HCF(2034,1764) = HCF(3798,2034) = HCF(5832,3798) = HCF(9630,5832) .
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Frequently Asked Questions on HCF of 5832, 9630 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 5832, 9630?
Answer: HCF of 5832, 9630 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5832, 9630 using Euclid's Algorithm?
Answer: For arbitrary numbers 5832, 9630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.