Highest Common Factor of 459, 283, 153 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, 283, 153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 283, 153 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, 283, 153 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, 283, 153 is 1.
HCF(459, 283, 153) = 1
HCF of 459, 283, 153 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, 283, 153 is 1.
Highest Common Factor of 459,283,153 is 1
Step 1: Since 459 > 283, we apply the division lemma to 459 and 283, to get
459 = 283 x 1 + 176
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 176 and 283, to get
283 = 176 x 1 + 107
Step 3: We consider the new divisor 176 and the new remainder 107, and apply the division lemma to get
176 = 107 x 1 + 69
We consider the new divisor 107 and the new remainder 69,and apply the division lemma to get
107 = 69 x 1 + 38
We consider the new divisor 69 and the new remainder 38,and apply the division lemma to get
69 = 38 x 1 + 31
We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get
38 = 31 x 1 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 459 and 283 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(69,38) = HCF(107,69) = HCF(176,107) = HCF(283,176) = HCF(459,283) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 153 > 1, we apply the division lemma to 153 and 1, to get
153 = 1 x 153 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 153 is 1
Notice that 1 = HCF(153,1) .
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Frequently Asked Questions on HCF of 459, 283, 153 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, 283, 153?
Answer: HCF of 459, 283, 153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 283, 153 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 283, 153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.