Highest Common Factor of 422, 572, 571 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 422, 572, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 422, 572, 571 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 422, 572, 571 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 422, 572, 571 is 1.
HCF(422, 572, 571) = 1
HCF of 422, 572, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 422, 572, 571 is 1.
Highest Common Factor of 422,572,571 is 1
Step 1: Since 572 > 422, we apply the division lemma to 572 and 422, to get
572 = 422 x 1 + 150
Step 2: Since the reminder 422 ≠ 0, we apply division lemma to 150 and 422, to get
422 = 150 x 2 + 122
Step 3: We consider the new divisor 150 and the new remainder 122, and apply the division lemma to get
150 = 122 x 1 + 28
We consider the new divisor 122 and the new remainder 28,and apply the division lemma to get
122 = 28 x 4 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 422 and 572 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(122,28) = HCF(150,122) = HCF(422,150) = HCF(572,422) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 2, we apply the division lemma to 571 and 2, to get
571 = 2 x 285 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(571,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 422, 572, 571 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 422, 572, 571?
Answer: HCF of 422, 572, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 422, 572, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 422, 572, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.