Highest Common Factor of 6543, 3097 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 6543, 3097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6543, 3097 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 6543, 3097 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 6543, 3097 is 1.
HCF(6543, 3097) = 1
HCF of 6543, 3097 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6543, 3097 is 1.
Highest Common Factor of 6543,3097 is 1
Step 1: Since 6543 > 3097, we apply the division lemma to 6543 and 3097, to get
6543 = 3097 x 2 + 349
Step 2: Since the reminder 3097 ≠ 0, we apply division lemma to 349 and 3097, to get
3097 = 349 x 8 + 305
Step 3: We consider the new divisor 349 and the new remainder 305, and apply the division lemma to get
349 = 305 x 1 + 44
We consider the new divisor 305 and the new remainder 44,and apply the division lemma to get
305 = 44 x 6 + 41
We consider the new divisor 44 and the new remainder 41,and apply the division lemma to get
44 = 41 x 1 + 3
We consider the new divisor 41 and the new remainder 3,and apply the division lemma to get
41 = 3 x 13 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6543 and 3097 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(41,3) = HCF(44,41) = HCF(305,44) = HCF(349,305) = HCF(3097,349) = HCF(6543,3097) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6543, 3097 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 6543, 3097?
Answer: HCF of 6543, 3097 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6543, 3097 using Euclid's Algorithm?
Answer: For arbitrary numbers 6543, 3097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.