Highest Common Factor of 563, 3334, 5170 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, 3334, 5170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 3334, 5170 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, 3334, 5170 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, 3334, 5170 is 1.
HCF(563, 3334, 5170) = 1
HCF of 563, 3334, 5170 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, 3334, 5170 is 1.
Highest Common Factor of 563,3334,5170 is 1
Step 1: Since 3334 > 563, we apply the division lemma to 3334 and 563, to get
3334 = 563 x 5 + 519
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 519 and 563, to get
563 = 519 x 1 + 44
Step 3: We consider the new divisor 519 and the new remainder 44, and apply the division lemma to get
519 = 44 x 11 + 35
We consider the new divisor 44 and the new remainder 35,and apply the division lemma to get
44 = 35 x 1 + 9
We consider the new divisor 35 and the new remainder 9,and apply the division lemma to get
35 = 9 x 3 + 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 3334 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(35,9) = HCF(44,35) = HCF(519,44) = HCF(563,519) = HCF(3334,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5170 > 1, we apply the division lemma to 5170 and 1, to get
5170 = 1 x 5170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5170 is 1
Notice that 1 = HCF(5170,1) .
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Frequently Asked Questions on HCF of 563, 3334, 5170 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, 3334, 5170?
Answer: HCF of 563, 3334, 5170 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 3334, 5170 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 3334, 5170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.