Highest Common Factor of 8184, 4857 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 8184, 4857 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8184, 4857 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 8184, 4857 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 8184, 4857 is 3.
HCF(8184, 4857) = 3
HCF of 8184, 4857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8184, 4857 is 3.
Highest Common Factor of 8184,4857 is 3
Step 1: Since 8184 > 4857, we apply the division lemma to 8184 and 4857, to get
8184 = 4857 x 1 + 3327
Step 2: Since the reminder 4857 ≠ 0, we apply division lemma to 3327 and 4857, to get
4857 = 3327 x 1 + 1530
Step 3: We consider the new divisor 3327 and the new remainder 1530, and apply the division lemma to get
3327 = 1530 x 2 + 267
We consider the new divisor 1530 and the new remainder 267,and apply the division lemma to get
1530 = 267 x 5 + 195
We consider the new divisor 267 and the new remainder 195,and apply the division lemma to get
267 = 195 x 1 + 72
We consider the new divisor 195 and the new remainder 72,and apply the division lemma to get
195 = 72 x 2 + 51
We consider the new divisor 72 and the new remainder 51,and apply the division lemma to get
72 = 51 x 1 + 21
We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get
51 = 21 x 2 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8184 and 4857 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(72,51) = HCF(195,72) = HCF(267,195) = HCF(1530,267) = HCF(3327,1530) = HCF(4857,3327) = HCF(8184,4857) .
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Frequently Asked Questions on HCF of 8184, 4857 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 8184, 4857?
Answer: HCF of 8184, 4857 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8184, 4857 using Euclid's Algorithm?
Answer: For arbitrary numbers 8184, 4857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.