Highest Common Factor of 586, 934 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 586, 934 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 586, 934 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 586, 934 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 586, 934 is 2.
HCF(586, 934) = 2
HCF of 586, 934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 586, 934 is 2.
Highest Common Factor of 586,934 is 2
Step 1: Since 934 > 586, we apply the division lemma to 934 and 586, to get
934 = 586 x 1 + 348
Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 348 and 586, to get
586 = 348 x 1 + 238
Step 3: We consider the new divisor 348 and the new remainder 238, and apply the division lemma to get
348 = 238 x 1 + 110
We consider the new divisor 238 and the new remainder 110,and apply the division lemma to get
238 = 110 x 2 + 18
We consider the new divisor 110 and the new remainder 18,and apply the division lemma to get
110 = 18 x 6 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 586 and 934 is 2
Notice that 2 = HCF(18,2) = HCF(110,18) = HCF(238,110) = HCF(348,238) = HCF(586,348) = HCF(934,586) .
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Frequently Asked Questions on HCF of 586, 934 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 586, 934?
Answer: HCF of 586, 934 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 586, 934 using Euclid's Algorithm?
Answer: For arbitrary numbers 586, 934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.