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, 758 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 586, 758 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, 758 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, 758 is 2.
HCF(586, 758) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 586, 758 is 2.
Step 1: Since 758 > 586, we apply the division lemma to 758 and 586, to get
758 = 586 x 1 + 172
Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 172 and 586, to get
586 = 172 x 3 + 70
Step 3: We consider the new divisor 172 and the new remainder 70, and apply the division lemma to get
172 = 70 x 2 + 32
We consider the new divisor 70 and the new remainder 32,and apply the division lemma to get
70 = 32 x 2 + 6
We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get
32 = 6 x 5 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 586 and 758 is 2
Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(70,32) = HCF(172,70) = HCF(586,172) = HCF(758,586) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 758?
Answer: HCF of 586, 758 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 586, 758 using Euclid's Algorithm?
Answer: For arbitrary numbers 586, 758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.