Highest Common Factor of 590, 8636 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 590, 8636 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 590, 8636 is 2 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 590, 8636 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 590, 8636 is 2.
HCF(590, 8636) = 2
HCF of 590, 8636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 590, 8636 is 2.
Highest Common Factor of 590,8636 is 2
Step 1: Since 8636 > 590, we apply the division lemma to 8636 and 590, to get
8636 = 590 x 14 + 376
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 376 and 590, to get
590 = 376 x 1 + 214
Step 3: We consider the new divisor 376 and the new remainder 214, and apply the division lemma to get
376 = 214 x 1 + 162
We consider the new divisor 214 and the new remainder 162,and apply the division lemma to get
214 = 162 x 1 + 52
We consider the new divisor 162 and the new remainder 52,and apply the division lemma to get
162 = 52 x 3 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 590 and 8636 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(162,52) = HCF(214,162) = HCF(376,214) = HCF(590,376) = HCF(8636,590) .
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Frequently Asked Questions on HCF of 590, 8636 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 590, 8636?
Answer: HCF of 590, 8636 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 590, 8636 using Euclid's Algorithm?
Answer: For arbitrary numbers 590, 8636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.