Highest Common Factor of 6806, 4187 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 6806, 4187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6806, 4187 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 6806, 4187 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 6806, 4187 is 1.
HCF(6806, 4187) = 1
HCF of 6806, 4187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6806, 4187 is 1.
Highest Common Factor of 6806,4187 is 1
Step 1: Since 6806 > 4187, we apply the division lemma to 6806 and 4187, to get
6806 = 4187 x 1 + 2619
Step 2: Since the reminder 4187 ≠ 0, we apply division lemma to 2619 and 4187, to get
4187 = 2619 x 1 + 1568
Step 3: We consider the new divisor 2619 and the new remainder 1568, and apply the division lemma to get
2619 = 1568 x 1 + 1051
We consider the new divisor 1568 and the new remainder 1051,and apply the division lemma to get
1568 = 1051 x 1 + 517
We consider the new divisor 1051 and the new remainder 517,and apply the division lemma to get
1051 = 517 x 2 + 17
We consider the new divisor 517 and the new remainder 17,and apply the division lemma to get
517 = 17 x 30 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 6806 and 4187 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(517,17) = HCF(1051,517) = HCF(1568,1051) = HCF(2619,1568) = HCF(4187,2619) = HCF(6806,4187) .
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Frequently Asked Questions on HCF of 6806, 4187 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 6806, 4187?
Answer: HCF of 6806, 4187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6806, 4187 using Euclid's Algorithm?
Answer: For arbitrary numbers 6806, 4187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.