Highest Common Factor of 479, 63183 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 479, 63183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 63183 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 479, 63183 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 479, 63183 is 1.
HCF(479, 63183) = 1
HCF of 479, 63183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 63183 is 1.
Highest Common Factor of 479,63183 is 1
Step 1: Since 63183 > 479, we apply the division lemma to 63183 and 479, to get
63183 = 479 x 131 + 434
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 434 and 479, to get
479 = 434 x 1 + 45
Step 3: We consider the new divisor 434 and the new remainder 45, and apply the division lemma to get
434 = 45 x 9 + 29
We consider the new divisor 45 and the new remainder 29,and apply the division lemma to get
45 = 29 x 1 + 16
We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get
29 = 16 x 1 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 479 and 63183 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(45,29) = HCF(434,45) = HCF(479,434) = HCF(63183,479) .
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Frequently Asked Questions on HCF of 479, 63183 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 479, 63183?
Answer: HCF of 479, 63183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 63183 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 63183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.