Highest Common Factor of 459, 4562 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 459, 4562 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 4562 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 459, 4562 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 459, 4562 is 1.
HCF(459, 4562) = 1
HCF of 459, 4562 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 459, 4562 is 1.
Highest Common Factor of 459,4562 is 1
Step 1: Since 4562 > 459, we apply the division lemma to 4562 and 459, to get
4562 = 459 x 9 + 431
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 431 and 459, to get
459 = 431 x 1 + 28
Step 3: We consider the new divisor 431 and the new remainder 28, and apply the division lemma to get
431 = 28 x 15 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 459 and 4562 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(431,28) = HCF(459,431) = HCF(4562,459) .
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Frequently Asked Questions on HCF of 459, 4562 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 459, 4562?
Answer: HCF of 459, 4562 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 4562 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 4562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.