Highest Common Factor of 3965, 2005 using Euclid's algorithm
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 3965, 2005 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3965, 2005 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 3965, 2005 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 3965, 2005 is 5.
HCF(3965, 2005) = 5
HCF of 3965, 2005 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3965, 2005 is 5.
Highest Common Factor of 3965,2005 is 5
Step 1: Since 3965 > 2005, we apply the division lemma to 3965 and 2005, to get
3965 = 2005 x 1 + 1960
Step 2: Since the reminder 2005 ≠ 0, we apply division lemma to 1960 and 2005, to get
2005 = 1960 x 1 + 45
Step 3: We consider the new divisor 1960 and the new remainder 45, and apply the division lemma to get
1960 = 45 x 43 + 25
We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get
45 = 25 x 1 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3965 and 2005 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(1960,45) = HCF(2005,1960) = HCF(3965,2005) .
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Frequently Asked Questions on HCF of 3965, 2005 using Euclid's Algorithm
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 3965, 2005?
Answer: HCF of 3965, 2005 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3965, 2005 using Euclid's Algorithm?
Answer: For arbitrary numbers 3965, 2005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.