Highest Common Factor of 459, 662 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, 662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 662 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, 662 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, 662 is 1.
HCF(459, 662) = 1
HCF of 459, 662 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, 662 is 1.
Highest Common Factor of 459,662 is 1
Step 1: Since 662 > 459, we apply the division lemma to 662 and 459, to get
662 = 459 x 1 + 203
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 203 and 459, to get
459 = 203 x 2 + 53
Step 3: We consider the new divisor 203 and the new remainder 53, and apply the division lemma to get
203 = 53 x 3 + 44
We consider the new divisor 53 and the new remainder 44,and apply the division lemma to get
53 = 44 x 1 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 459 and 662 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(53,44) = HCF(203,53) = HCF(459,203) = HCF(662,459) .
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Frequently Asked Questions on HCF of 459, 662 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, 662?
Answer: HCF of 459, 662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 662 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.