Highest Common Factor of 641, 389, 505 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 641, 389, 505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 641, 389, 505 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 641, 389, 505 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 641, 389, 505 is 1.
HCF(641, 389, 505) = 1
HCF of 641, 389, 505 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 641, 389, 505 is 1.
Highest Common Factor of 641,389,505 is 1
Step 1: Since 641 > 389, we apply the division lemma to 641 and 389, to get
641 = 389 x 1 + 252
Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 252 and 389, to get
389 = 252 x 1 + 137
Step 3: We consider the new divisor 252 and the new remainder 137, and apply the division lemma to get
252 = 137 x 1 + 115
We consider the new divisor 137 and the new remainder 115,and apply the division lemma to get
137 = 115 x 1 + 22
We consider the new divisor 115 and the new remainder 22,and apply the division lemma to get
115 = 22 x 5 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 641 and 389 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(115,22) = HCF(137,115) = HCF(252,137) = HCF(389,252) = HCF(641,389) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 505 > 1, we apply the division lemma to 505 and 1, to get
505 = 1 x 505 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 505 is 1
Notice that 1 = HCF(505,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 641, 389, 505 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 641, 389, 505?
Answer: HCF of 641, 389, 505 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 641, 389, 505 using Euclid's Algorithm?
Answer: For arbitrary numbers 641, 389, 505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.