Highest Common Factor of 482, 42263 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 482, 42263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 482, 42263 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 482, 42263 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 482, 42263 is 1.
HCF(482, 42263) = 1
HCF of 482, 42263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 482, 42263 is 1.
Highest Common Factor of 482,42263 is 1
Step 1: Since 42263 > 482, we apply the division lemma to 42263 and 482, to get
42263 = 482 x 87 + 329
Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 329 and 482, to get
482 = 329 x 1 + 153
Step 3: We consider the new divisor 329 and the new remainder 153, and apply the division lemma to get
329 = 153 x 2 + 23
We consider the new divisor 153 and the new remainder 23,and apply the division lemma to get
153 = 23 x 6 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 482 and 42263 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(153,23) = HCF(329,153) = HCF(482,329) = HCF(42263,482) .
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Frequently Asked Questions on HCF of 482, 42263 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 482, 42263?
Answer: HCF of 482, 42263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 482, 42263 using Euclid's Algorithm?
Answer: For arbitrary numbers 482, 42263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.