Highest Common Factor of 563, 4361 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, 4361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 4361 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, 4361 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, 4361 is 1.
HCF(563, 4361) = 1
HCF of 563, 4361 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, 4361 is 1.
Highest Common Factor of 563,4361 is 1
Step 1: Since 4361 > 563, we apply the division lemma to 4361 and 563, to get
4361 = 563 x 7 + 420
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 420 and 563, to get
563 = 420 x 1 + 143
Step 3: We consider the new divisor 420 and the new remainder 143, and apply the division lemma to get
420 = 143 x 2 + 134
We consider the new divisor 143 and the new remainder 134,and apply the division lemma to get
143 = 134 x 1 + 9
We consider the new divisor 134 and the new remainder 9,and apply the division lemma to get
134 = 9 x 14 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 563 and 4361 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(134,9) = HCF(143,134) = HCF(420,143) = HCF(563,420) = HCF(4361,563) .
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Frequently Asked Questions on HCF of 563, 4361 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, 4361?
Answer: HCF of 563, 4361 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 4361 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 4361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.