Highest Common Factor of 515, 313, 538, 617 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 515, 313, 538, 617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 313, 538, 617 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 515, 313, 538, 617 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 515, 313, 538, 617 is 1.
HCF(515, 313, 538, 617) = 1
HCF of 515, 313, 538, 617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 313, 538, 617 is 1.
Highest Common Factor of 515,313,538,617 is 1
Step 1: Since 515 > 313, we apply the division lemma to 515 and 313, to get
515 = 313 x 1 + 202
Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 202 and 313, to get
313 = 202 x 1 + 111
Step 3: We consider the new divisor 202 and the new remainder 111, and apply the division lemma to get
202 = 111 x 1 + 91
We consider the new divisor 111 and the new remainder 91,and apply the division lemma to get
111 = 91 x 1 + 20
We consider the new divisor 91 and the new remainder 20,and apply the division lemma to get
91 = 20 x 4 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 515 and 313 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(91,20) = HCF(111,91) = HCF(202,111) = HCF(313,202) = HCF(515,313) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 538 > 1, we apply the division lemma to 538 and 1, to get
538 = 1 x 538 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 538 is 1
Notice that 1 = HCF(538,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 617 > 1, we apply the division lemma to 617 and 1, to get
617 = 1 x 617 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 617 is 1
Notice that 1 = HCF(617,1) .
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Frequently Asked Questions on HCF of 515, 313, 538, 617 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 515, 313, 538, 617?
Answer: HCF of 515, 313, 538, 617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 313, 538, 617 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 313, 538, 617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.