Highest Common Factor of 8315, 4047 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 8315, 4047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8315, 4047 is 1 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 8315, 4047 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 8315, 4047 is 1.
HCF(8315, 4047) = 1
HCF of 8315, 4047 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8315, 4047 is 1.
Highest Common Factor of 8315,4047 is 1
Step 1: Since 8315 > 4047, we apply the division lemma to 8315 and 4047, to get
8315 = 4047 x 2 + 221
Step 2: Since the reminder 4047 ≠ 0, we apply division lemma to 221 and 4047, to get
4047 = 221 x 18 + 69
Step 3: We consider the new divisor 221 and the new remainder 69, and apply the division lemma to get
221 = 69 x 3 + 14
We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get
69 = 14 x 4 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8315 and 4047 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(221,69) = HCF(4047,221) = HCF(8315,4047) .
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Frequently Asked Questions on HCF of 8315, 4047 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 8315, 4047?
Answer: HCF of 8315, 4047 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8315, 4047 using Euclid's Algorithm?
Answer: For arbitrary numbers 8315, 4047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
