Highest Common Factor of 115, 643, 401 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 115, 643, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 115, 643, 401 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 115, 643, 401 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 115, 643, 401 is 1.
HCF(115, 643, 401) = 1
HCF of 115, 643, 401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 115, 643, 401 is 1.
Highest Common Factor of 115,643,401 is 1
Step 1: Since 643 > 115, we apply the division lemma to 643 and 115, to get
643 = 115 x 5 + 68
Step 2: Since the reminder 115 ≠ 0, we apply division lemma to 68 and 115, to get
115 = 68 x 1 + 47
Step 3: We consider the new divisor 68 and the new remainder 47, and apply the division lemma to get
68 = 47 x 1 + 21
We consider the new divisor 47 and the new remainder 21,and apply the division lemma to get
47 = 21 x 2 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 115 and 643 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(47,21) = HCF(68,47) = HCF(115,68) = HCF(643,115) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 1, we apply the division lemma to 401 and 1, to get
401 = 1 x 401 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 401 is 1
Notice that 1 = HCF(401,1) .
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Frequently Asked Questions on HCF of 115, 643, 401 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 115, 643, 401?
Answer: HCF of 115, 643, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 115, 643, 401 using Euclid's Algorithm?
Answer: For arbitrary numbers 115, 643, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.