Highest Common Factor of 7647, 4071 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 7647, 4071 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7647, 4071 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 7647, 4071 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 7647, 4071 is 3.
HCF(7647, 4071) = 3
HCF of 7647, 4071 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7647, 4071 is 3.
Highest Common Factor of 7647,4071 is 3
Step 1: Since 7647 > 4071, we apply the division lemma to 7647 and 4071, to get
7647 = 4071 x 1 + 3576
Step 2: Since the reminder 4071 ≠ 0, we apply division lemma to 3576 and 4071, to get
4071 = 3576 x 1 + 495
Step 3: We consider the new divisor 3576 and the new remainder 495, and apply the division lemma to get
3576 = 495 x 7 + 111
We consider the new divisor 495 and the new remainder 111,and apply the division lemma to get
495 = 111 x 4 + 51
We consider the new divisor 111 and the new remainder 51,and apply the division lemma to get
111 = 51 x 2 + 9
We consider the new divisor 51 and the new remainder 9,and apply the division lemma to get
51 = 9 x 5 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7647 and 4071 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(51,9) = HCF(111,51) = HCF(495,111) = HCF(3576,495) = HCF(4071,3576) = HCF(7647,4071) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7647, 4071 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 7647, 4071?
Answer: HCF of 7647, 4071 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7647, 4071 using Euclid's Algorithm?
Answer: For arbitrary numbers 7647, 4071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.