Highest Common Factor of 596, 453, 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 596, 453, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 453, 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 596, 453, 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 596, 453, 571 is 1.
HCF(596, 453, 571) = 1
HCF of 596, 453, 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 596, 453, 571 is 1.
Highest Common Factor of 596,453,571 is 1
Step 1: Since 596 > 453, we apply the division lemma to 596 and 453, to get
596 = 453 x 1 + 143
Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 143 and 453, to get
453 = 143 x 3 + 24
Step 3: We consider the new divisor 143 and the new remainder 24, and apply the division lemma to get
143 = 24 x 5 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 596 and 453 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(143,24) = HCF(453,143) = HCF(596,453) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 1, we apply the division lemma to 571 and 1, to get
571 = 1 x 571 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 571 is 1
Notice that 1 = HCF(571,1) .
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Frequently Asked Questions on HCF of 596, 453, 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 596, 453, 571?
Answer: HCF of 596, 453, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 453, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 453, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.