Highest Common Factor of 4287, 6459 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 4287, 6459 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4287, 6459 is 3 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 4287, 6459 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 4287, 6459 is 3.
HCF(4287, 6459) = 3
HCF of 4287, 6459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4287, 6459 is 3.
Highest Common Factor of 4287,6459 is 3
Step 1: Since 6459 > 4287, we apply the division lemma to 6459 and 4287, to get
6459 = 4287 x 1 + 2172
Step 2: Since the reminder 4287 ≠ 0, we apply division lemma to 2172 and 4287, to get
4287 = 2172 x 1 + 2115
Step 3: We consider the new divisor 2172 and the new remainder 2115, and apply the division lemma to get
2172 = 2115 x 1 + 57
We consider the new divisor 2115 and the new remainder 57,and apply the division lemma to get
2115 = 57 x 37 + 6
We consider the new divisor 57 and the new remainder 6,and apply the division lemma to get
57 = 6 x 9 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4287 and 6459 is 3
Notice that 3 = HCF(6,3) = HCF(57,6) = HCF(2115,57) = HCF(2172,2115) = HCF(4287,2172) = HCF(6459,4287) .
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Frequently Asked Questions on HCF of 4287, 6459 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 4287, 6459?
Answer: HCF of 4287, 6459 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4287, 6459 using Euclid's Algorithm?
Answer: For arbitrary numbers 4287, 6459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.