Highest Common Factor of 590, 82956 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, 82956 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 590, 82956 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, 82956 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, 82956 is 2.
HCF(590, 82956) = 2
HCF of 590, 82956 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, 82956 is 2.
Highest Common Factor of 590,82956 is 2
Step 1: Since 82956 > 590, we apply the division lemma to 82956 and 590, to get
82956 = 590 x 140 + 356
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 356 and 590, to get
590 = 356 x 1 + 234
Step 3: We consider the new divisor 356 and the new remainder 234, and apply the division lemma to get
356 = 234 x 1 + 122
We consider the new divisor 234 and the new remainder 122,and apply the division lemma to get
234 = 122 x 1 + 112
We consider the new divisor 122 and the new remainder 112,and apply the division lemma to get
122 = 112 x 1 + 10
We consider the new divisor 112 and the new remainder 10,and apply the division lemma to get
112 = 10 x 11 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 590 and 82956 is 2
Notice that 2 = HCF(10,2) = HCF(112,10) = HCF(122,112) = HCF(234,122) = HCF(356,234) = HCF(590,356) = HCF(82956,590) .
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Frequently Asked Questions on HCF of 590, 82956 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, 82956?
Answer: HCF of 590, 82956 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 590, 82956 using Euclid's Algorithm?
Answer: For arbitrary numbers 590, 82956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
