Highest Common Factor of 568, 583, 283, 413 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 568, 583, 283, 413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 583, 283, 413 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 568, 583, 283, 413 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 568, 583, 283, 413 is 1.
HCF(568, 583, 283, 413) = 1
HCF of 568, 583, 283, 413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 583, 283, 413 is 1.
Highest Common Factor of 568,583,283,413 is 1
Step 1: Since 583 > 568, we apply the division lemma to 583 and 568, to get
583 = 568 x 1 + 15
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 15 and 568, to get
568 = 15 x 37 + 13
Step 3: We consider the new divisor 15 and the new remainder 13, and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 568 and 583 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(568,15) = HCF(583,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 283 > 1, we apply the division lemma to 283 and 1, to get
283 = 1 x 283 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 283 is 1
Notice that 1 = HCF(283,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 413 > 1, we apply the division lemma to 413 and 1, to get
413 = 1 x 413 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 413 is 1
Notice that 1 = HCF(413,1) .
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Frequently Asked Questions on HCF of 568, 583, 283, 413 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 568, 583, 283, 413?
Answer: HCF of 568, 583, 283, 413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 583, 283, 413 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 583, 283, 413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.