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 5645, 3205 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5645, 3205 is 5 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 5645, 3205 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 5645, 3205 is 5.
HCF(5645, 3205) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5645, 3205 is 5.
Step 1: Since 5645 > 3205, we apply the division lemma to 5645 and 3205, to get
5645 = 3205 x 1 + 2440
Step 2: Since the reminder 3205 ≠ 0, we apply division lemma to 2440 and 3205, to get
3205 = 2440 x 1 + 765
Step 3: We consider the new divisor 2440 and the new remainder 765, and apply the division lemma to get
2440 = 765 x 3 + 145
We consider the new divisor 765 and the new remainder 145,and apply the division lemma to get
765 = 145 x 5 + 40
We consider the new divisor 145 and the new remainder 40,and apply the division lemma to get
145 = 40 x 3 + 25
We consider the new divisor 40 and the new remainder 25,and apply the division lemma to get
40 = 25 x 1 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5645 and 3205 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(40,25) = HCF(145,40) = HCF(765,145) = HCF(2440,765) = HCF(3205,2440) = HCF(5645,3205) .
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 5645, 3205?
Answer: HCF of 5645, 3205 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5645, 3205 using Euclid's Algorithm?
Answer: For arbitrary numbers 5645, 3205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.