Highest Common Factor of 568, 509, 415 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, 509, 415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 509, 415 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, 509, 415 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, 509, 415 is 1.
HCF(568, 509, 415) = 1
HCF of 568, 509, 415 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, 509, 415 is 1.
Highest Common Factor of 568,509,415 is 1
Step 1: Since 568 > 509, we apply the division lemma to 568 and 509, to get
568 = 509 x 1 + 59
Step 2: Since the reminder 509 ≠ 0, we apply division lemma to 59 and 509, to get
509 = 59 x 8 + 37
Step 3: We consider the new divisor 59 and the new remainder 37, and apply the division lemma to get
59 = 37 x 1 + 22
We consider the new divisor 37 and the new remainder 22,and apply the division lemma to get
37 = 22 x 1 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 568 and 509 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(59,37) = HCF(509,59) = HCF(568,509) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 415 > 1, we apply the division lemma to 415 and 1, to get
415 = 1 x 415 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 415 is 1
Notice that 1 = HCF(415,1) .
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Frequently Asked Questions on HCF of 568, 509, 415 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, 509, 415?
Answer: HCF of 568, 509, 415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 509, 415 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 509, 415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.