Highest Common Factor of 7643, 6064 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 7643, 6064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7643, 6064 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 7643, 6064 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 7643, 6064 is 1.
HCF(7643, 6064) = 1
HCF of 7643, 6064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7643, 6064 is 1.
Highest Common Factor of 7643,6064 is 1
Step 1: Since 7643 > 6064, we apply the division lemma to 7643 and 6064, to get
7643 = 6064 x 1 + 1579
Step 2: Since the reminder 6064 ≠ 0, we apply division lemma to 1579 and 6064, to get
6064 = 1579 x 3 + 1327
Step 3: We consider the new divisor 1579 and the new remainder 1327, and apply the division lemma to get
1579 = 1327 x 1 + 252
We consider the new divisor 1327 and the new remainder 252,and apply the division lemma to get
1327 = 252 x 5 + 67
We consider the new divisor 252 and the new remainder 67,and apply the division lemma to get
252 = 67 x 3 + 51
We consider the new divisor 67 and the new remainder 51,and apply the division lemma to get
67 = 51 x 1 + 16
We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get
51 = 16 x 3 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7643 and 6064 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(67,51) = HCF(252,67) = HCF(1327,252) = HCF(1579,1327) = HCF(6064,1579) = HCF(7643,6064) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7643, 6064 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 7643, 6064?
Answer: HCF of 7643, 6064 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7643, 6064 using Euclid's Algorithm?
Answer: For arbitrary numbers 7643, 6064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.