Highest Common Factor of 579, 53632 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 579, 53632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 53632 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 579, 53632 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 579, 53632 is 1.
HCF(579, 53632) = 1
HCF of 579, 53632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 579, 53632 is 1.
Highest Common Factor of 579,53632 is 1
Step 1: Since 53632 > 579, we apply the division lemma to 53632 and 579, to get
53632 = 579 x 92 + 364
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 364 and 579, to get
579 = 364 x 1 + 215
Step 3: We consider the new divisor 364 and the new remainder 215, and apply the division lemma to get
364 = 215 x 1 + 149
We consider the new divisor 215 and the new remainder 149,and apply the division lemma to get
215 = 149 x 1 + 66
We consider the new divisor 149 and the new remainder 66,and apply the division lemma to get
149 = 66 x 2 + 17
We consider the new divisor 66 and the new remainder 17,and apply the division lemma to get
66 = 17 x 3 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 579 and 53632 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(66,17) = HCF(149,66) = HCF(215,149) = HCF(364,215) = HCF(579,364) = HCF(53632,579) .
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Frequently Asked Questions on HCF of 579, 53632 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 579, 53632?
Answer: HCF of 579, 53632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 53632 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 53632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.