Highest Common Factor of 563, 417, 603 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 563, 417, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 417, 603 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 563, 417, 603 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 563, 417, 603 is 1.
HCF(563, 417, 603) = 1
HCF of 563, 417, 603 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 563, 417, 603 is 1.
Highest Common Factor of 563,417,603 is 1
Step 1: Since 563 > 417, we apply the division lemma to 563 and 417, to get
563 = 417 x 1 + 146
Step 2: Since the reminder 417 ≠ 0, we apply division lemma to 146 and 417, to get
417 = 146 x 2 + 125
Step 3: We consider the new divisor 146 and the new remainder 125, and apply the division lemma to get
146 = 125 x 1 + 21
We consider the new divisor 125 and the new remainder 21,and apply the division lemma to get
125 = 21 x 5 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 563 and 417 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(125,21) = HCF(146,125) = HCF(417,146) = HCF(563,417) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 1, we apply the division lemma to 603 and 1, to get
603 = 1 x 603 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 603 is 1
Notice that 1 = HCF(603,1) .
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Frequently Asked Questions on HCF of 563, 417, 603 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 563, 417, 603?
Answer: HCF of 563, 417, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 417, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 417, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
