Highest Common Factor of 563, 9005, 8356 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, 9005, 8356 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 9005, 8356 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, 9005, 8356 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, 9005, 8356 is 1.
HCF(563, 9005, 8356) = 1
HCF of 563, 9005, 8356 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, 9005, 8356 is 1.
Highest Common Factor of 563,9005,8356 is 1
Step 1: Since 9005 > 563, we apply the division lemma to 9005 and 563, to get
9005 = 563 x 15 + 560
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 560 and 563, to get
563 = 560 x 1 + 3
Step 3: We consider the new divisor 560 and the new remainder 3, and apply the division lemma to get
560 = 3 x 186 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 563 and 9005 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(560,3) = HCF(563,560) = HCF(9005,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8356 > 1, we apply the division lemma to 8356 and 1, to get
8356 = 1 x 8356 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8356 is 1
Notice that 1 = HCF(8356,1) .
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Frequently Asked Questions on HCF of 563, 9005, 8356 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, 9005, 8356?
Answer: HCF of 563, 9005, 8356 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 9005, 8356 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 9005, 8356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.