Highest Common Factor of 231, 631, 389 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 231, 631, 389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 231, 631, 389 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 231, 631, 389 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 231, 631, 389 is 1.
HCF(231, 631, 389) = 1
HCF of 231, 631, 389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 231, 631, 389 is 1.
Highest Common Factor of 231,631,389 is 1
Step 1: Since 631 > 231, we apply the division lemma to 631 and 231, to get
631 = 231 x 2 + 169
Step 2: Since the reminder 231 ≠ 0, we apply division lemma to 169 and 231, to get
231 = 169 x 1 + 62
Step 3: We consider the new divisor 169 and the new remainder 62, and apply the division lemma to get
169 = 62 x 2 + 45
We consider the new divisor 62 and the new remainder 45,and apply the division lemma to get
62 = 45 x 1 + 17
We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get
45 = 17 x 2 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 231 and 631 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(62,45) = HCF(169,62) = HCF(231,169) = HCF(631,231) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 389 > 1, we apply the division lemma to 389 and 1, to get
389 = 1 x 389 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 389 is 1
Notice that 1 = HCF(389,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 231, 631, 389 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 231, 631, 389?
Answer: HCF of 231, 631, 389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 231, 631, 389 using Euclid's Algorithm?
Answer: For arbitrary numbers 231, 631, 389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.