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 863, 629, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 629, 581 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 863, 629, 581 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 863, 629, 581 is 1.
HCF(863, 629, 581) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 863, 629, 581 is 1.
Step 1: Since 863 > 629, we apply the division lemma to 863 and 629, to get
863 = 629 x 1 + 234
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 234 and 629, to get
629 = 234 x 2 + 161
Step 3: We consider the new divisor 234 and the new remainder 161, and apply the division lemma to get
234 = 161 x 1 + 73
We consider the new divisor 161 and the new remainder 73,and apply the division lemma to get
161 = 73 x 2 + 15
We consider the new divisor 73 and the new remainder 15,and apply the division lemma to get
73 = 15 x 4 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 863 and 629 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(73,15) = HCF(161,73) = HCF(234,161) = HCF(629,234) = HCF(863,629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 581 > 1, we apply the division lemma to 581 and 1, to get
581 = 1 x 581 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 581 is 1
Notice that 1 = HCF(581,1) .
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 863, 629, 581?
Answer: HCF of 863, 629, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 629, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 629, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.