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 3206, 8985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3206, 8985 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 3206, 8985 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 3206, 8985 is 1.
HCF(3206, 8985) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3206, 8985 is 1.
Step 1: Since 8985 > 3206, we apply the division lemma to 8985 and 3206, to get
8985 = 3206 x 2 + 2573
Step 2: Since the reminder 3206 ≠ 0, we apply division lemma to 2573 and 3206, to get
3206 = 2573 x 1 + 633
Step 3: We consider the new divisor 2573 and the new remainder 633, and apply the division lemma to get
2573 = 633 x 4 + 41
We consider the new divisor 633 and the new remainder 41,and apply the division lemma to get
633 = 41 x 15 + 18
We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get
41 = 18 x 2 + 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 3206 and 8985 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(633,41) = HCF(2573,633) = HCF(3206,2573) = HCF(8985,3206) .
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 3206, 8985?
Answer: HCF of 3206, 8985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3206, 8985 using Euclid's Algorithm?
Answer: For arbitrary numbers 3206, 8985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.