Highest Common Factor of 6366, 2487 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 6366, 2487 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6366, 2487 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 6366, 2487 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 6366, 2487 is 3.
HCF(6366, 2487) = 3
HCF of 6366, 2487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6366, 2487 is 3.
Highest Common Factor of 6366,2487 is 3
Step 1: Since 6366 > 2487, we apply the division lemma to 6366 and 2487, to get
6366 = 2487 x 2 + 1392
Step 2: Since the reminder 2487 ≠ 0, we apply division lemma to 1392 and 2487, to get
2487 = 1392 x 1 + 1095
Step 3: We consider the new divisor 1392 and the new remainder 1095, and apply the division lemma to get
1392 = 1095 x 1 + 297
We consider the new divisor 1095 and the new remainder 297,and apply the division lemma to get
1095 = 297 x 3 + 204
We consider the new divisor 297 and the new remainder 204,and apply the division lemma to get
297 = 204 x 1 + 93
We consider the new divisor 204 and the new remainder 93,and apply the division lemma to get
204 = 93 x 2 + 18
We consider the new divisor 93 and the new remainder 18,and apply the division lemma to get
93 = 18 x 5 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6366 and 2487 is 3
Notice that 3 = HCF(18,3) = HCF(93,18) = HCF(204,93) = HCF(297,204) = HCF(1095,297) = HCF(1392,1095) = HCF(2487,1392) = HCF(6366,2487) .
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Frequently Asked Questions on HCF of 6366, 2487 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 6366, 2487?
Answer: HCF of 6366, 2487 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6366, 2487 using Euclid's Algorithm?
Answer: For arbitrary numbers 6366, 2487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.