Highest Common Factor of 6217, 6860 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 6217, 6860 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6217, 6860 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 6217, 6860 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 6217, 6860 is 1.
HCF(6217, 6860) = 1
HCF of 6217, 6860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6217, 6860 is 1.
Highest Common Factor of 6217,6860 is 1
Step 1: Since 6860 > 6217, we apply the division lemma to 6860 and 6217, to get
6860 = 6217 x 1 + 643
Step 2: Since the reminder 6217 ≠ 0, we apply division lemma to 643 and 6217, to get
6217 = 643 x 9 + 430
Step 3: We consider the new divisor 643 and the new remainder 430, and apply the division lemma to get
643 = 430 x 1 + 213
We consider the new divisor 430 and the new remainder 213,and apply the division lemma to get
430 = 213 x 2 + 4
We consider the new divisor 213 and the new remainder 4,and apply the division lemma to get
213 = 4 x 53 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6217 and 6860 is 1
Notice that 1 = HCF(4,1) = HCF(213,4) = HCF(430,213) = HCF(643,430) = HCF(6217,643) = HCF(6860,6217) .
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Frequently Asked Questions on HCF of 6217, 6860 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 6217, 6860?
Answer: HCF of 6217, 6860 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6217, 6860 using Euclid's Algorithm?
Answer: For arbitrary numbers 6217, 6860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.