Highest Common Factor of 6197, 8063 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 6197, 8063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6197, 8063 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 6197, 8063 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 6197, 8063 is 1.
HCF(6197, 8063) = 1
HCF of 6197, 8063 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6197, 8063 is 1.
Highest Common Factor of 6197,8063 is 1
Step 1: Since 8063 > 6197, we apply the division lemma to 8063 and 6197, to get
8063 = 6197 x 1 + 1866
Step 2: Since the reminder 6197 ≠ 0, we apply division lemma to 1866 and 6197, to get
6197 = 1866 x 3 + 599
Step 3: We consider the new divisor 1866 and the new remainder 599, and apply the division lemma to get
1866 = 599 x 3 + 69
We consider the new divisor 599 and the new remainder 69,and apply the division lemma to get
599 = 69 x 8 + 47
We consider the new divisor 69 and the new remainder 47,and apply the division lemma to get
69 = 47 x 1 + 22
We consider the new divisor 47 and the new remainder 22,and apply the division lemma to get
47 = 22 x 2 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 6197 and 8063 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(69,47) = HCF(599,69) = HCF(1866,599) = HCF(6197,1866) = HCF(8063,6197) .
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Frequently Asked Questions on HCF of 6197, 8063 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 6197, 8063?
Answer: HCF of 6197, 8063 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6197, 8063 using Euclid's Algorithm?
Answer: For arbitrary numbers 6197, 8063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.