Highest Common Factor of 6186, 6427 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 6186, 6427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6186, 6427 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 6186, 6427 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 6186, 6427 is 1.
HCF(6186, 6427) = 1
HCF of 6186, 6427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6186, 6427 is 1.
Highest Common Factor of 6186,6427 is 1
Step 1: Since 6427 > 6186, we apply the division lemma to 6427 and 6186, to get
6427 = 6186 x 1 + 241
Step 2: Since the reminder 6186 ≠ 0, we apply division lemma to 241 and 6186, to get
6186 = 241 x 25 + 161
Step 3: We consider the new divisor 241 and the new remainder 161, and apply the division lemma to get
241 = 161 x 1 + 80
We consider the new divisor 161 and the new remainder 80,and apply the division lemma to get
161 = 80 x 2 + 1
We consider the new divisor 80 and the new remainder 1,and apply the division lemma to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6186 and 6427 is 1
Notice that 1 = HCF(80,1) = HCF(161,80) = HCF(241,161) = HCF(6186,241) = HCF(6427,6186) .
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Frequently Asked Questions on HCF of 6186, 6427 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 6186, 6427?
Answer: HCF of 6186, 6427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6186, 6427 using Euclid's Algorithm?
Answer: For arbitrary numbers 6186, 6427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.