Highest Common Factor of 4539, 8382 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 4539, 8382 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4539, 8382 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 4539, 8382 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 4539, 8382 is 3.
HCF(4539, 8382) = 3
HCF of 4539, 8382 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4539, 8382 is 3.
Highest Common Factor of 4539,8382 is 3
Step 1: Since 8382 > 4539, we apply the division lemma to 8382 and 4539, to get
8382 = 4539 x 1 + 3843
Step 2: Since the reminder 4539 ≠ 0, we apply division lemma to 3843 and 4539, to get
4539 = 3843 x 1 + 696
Step 3: We consider the new divisor 3843 and the new remainder 696, and apply the division lemma to get
3843 = 696 x 5 + 363
We consider the new divisor 696 and the new remainder 363,and apply the division lemma to get
696 = 363 x 1 + 333
We consider the new divisor 363 and the new remainder 333,and apply the division lemma to get
363 = 333 x 1 + 30
We consider the new divisor 333 and the new remainder 30,and apply the division lemma to get
333 = 30 x 11 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4539 and 8382 is 3
Notice that 3 = HCF(30,3) = HCF(333,30) = HCF(363,333) = HCF(696,363) = HCF(3843,696) = HCF(4539,3843) = HCF(8382,4539) .
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Frequently Asked Questions on HCF of 4539, 8382 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 4539, 8382?
Answer: HCF of 4539, 8382 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4539, 8382 using Euclid's Algorithm?
Answer: For arbitrary numbers 4539, 8382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.