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 5906, 3243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5906, 3243 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 5906, 3243 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 5906, 3243 is 1.
HCF(5906, 3243) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5906, 3243 is 1.
Step 1: Since 5906 > 3243, we apply the division lemma to 5906 and 3243, to get
5906 = 3243 x 1 + 2663
Step 2: Since the reminder 3243 ≠ 0, we apply division lemma to 2663 and 3243, to get
3243 = 2663 x 1 + 580
Step 3: We consider the new divisor 2663 and the new remainder 580, and apply the division lemma to get
2663 = 580 x 4 + 343
We consider the new divisor 580 and the new remainder 343,and apply the division lemma to get
580 = 343 x 1 + 237
We consider the new divisor 343 and the new remainder 237,and apply the division lemma to get
343 = 237 x 1 + 106
We consider the new divisor 237 and the new remainder 106,and apply the division lemma to get
237 = 106 x 2 + 25
We consider the new divisor 106 and the new remainder 25,and apply the division lemma to get
106 = 25 x 4 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5906 and 3243 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(106,25) = HCF(237,106) = HCF(343,237) = HCF(580,343) = HCF(2663,580) = HCF(3243,2663) = HCF(5906,3243) .
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 5906, 3243?
Answer: HCF of 5906, 3243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5906, 3243 using Euclid's Algorithm?
Answer: For arbitrary numbers 5906, 3243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.