Highest Common Factor of 6807, 2215 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 6807, 2215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6807, 2215 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 6807, 2215 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 6807, 2215 is 1.
HCF(6807, 2215) = 1
HCF of 6807, 2215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6807, 2215 is 1.
Highest Common Factor of 6807,2215 is 1
Step 1: Since 6807 > 2215, we apply the division lemma to 6807 and 2215, to get
6807 = 2215 x 3 + 162
Step 2: Since the reminder 2215 ≠ 0, we apply division lemma to 162 and 2215, to get
2215 = 162 x 13 + 109
Step 3: We consider the new divisor 162 and the new remainder 109, and apply the division lemma to get
162 = 109 x 1 + 53
We consider the new divisor 109 and the new remainder 53,and apply the division lemma to get
109 = 53 x 2 + 3
We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get
53 = 3 x 17 + 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 6807 and 2215 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(109,53) = HCF(162,109) = HCF(2215,162) = HCF(6807,2215) .
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Frequently Asked Questions on HCF of 6807, 2215 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 6807, 2215?
Answer: HCF of 6807, 2215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6807, 2215 using Euclid's Algorithm?
Answer: For arbitrary numbers 6807, 2215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.