Highest Common Factor of 2168, 6287 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 2168, 6287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2168, 6287 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 2168, 6287 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 2168, 6287 is 1.
HCF(2168, 6287) = 1
HCF of 2168, 6287 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2168, 6287 is 1.
Highest Common Factor of 2168,6287 is 1
Step 1: Since 6287 > 2168, we apply the division lemma to 6287 and 2168, to get
6287 = 2168 x 2 + 1951
Step 2: Since the reminder 2168 ≠ 0, we apply division lemma to 1951 and 2168, to get
2168 = 1951 x 1 + 217
Step 3: We consider the new divisor 1951 and the new remainder 217, and apply the division lemma to get
1951 = 217 x 8 + 215
We consider the new divisor 217 and the new remainder 215,and apply the division lemma to get
217 = 215 x 1 + 2
We consider the new divisor 215 and the new remainder 2,and apply the division lemma to get
215 = 2 x 107 + 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 2168 and 6287 is 1
Notice that 1 = HCF(2,1) = HCF(215,2) = HCF(217,215) = HCF(1951,217) = HCF(2168,1951) = HCF(6287,2168) .
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Frequently Asked Questions on HCF of 2168, 6287 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 2168, 6287?
Answer: HCF of 2168, 6287 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2168, 6287 using Euclid's Algorithm?
Answer: For arbitrary numbers 2168, 6287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.