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 581, 366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 366 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 581, 366 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 581, 366 is 1.
HCF(581, 366) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 581, 366 is 1.
Step 1: Since 581 > 366, we apply the division lemma to 581 and 366, to get
581 = 366 x 1 + 215
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 215 and 366, to get
366 = 215 x 1 + 151
Step 3: We consider the new divisor 215 and the new remainder 151, and apply the division lemma to get
215 = 151 x 1 + 64
We consider the new divisor 151 and the new remainder 64,and apply the division lemma to get
151 = 64 x 2 + 23
We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get
64 = 23 x 2 + 18
We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get
23 = 18 x 1 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 581 and 366 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(151,64) = HCF(215,151) = HCF(366,215) = HCF(581,366) .
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 581, 366?
Answer: HCF of 581, 366 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 366 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.