Highest Common Factor of 519, 323, 368, 17 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 519, 323, 368, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 519, 323, 368, 17 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 519, 323, 368, 17 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 519, 323, 368, 17 is 1.
HCF(519, 323, 368, 17) = 1
HCF of 519, 323, 368, 17 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 519, 323, 368, 17 is 1.
Highest Common Factor of 519,323,368,17 is 1
Step 1: Since 519 > 323, we apply the division lemma to 519 and 323, to get
519 = 323 x 1 + 196
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 196 and 323, to get
323 = 196 x 1 + 127
Step 3: We consider the new divisor 196 and the new remainder 127, and apply the division lemma to get
196 = 127 x 1 + 69
We consider the new divisor 127 and the new remainder 69,and apply the division lemma to get
127 = 69 x 1 + 58
We consider the new divisor 69 and the new remainder 58,and apply the division lemma to get
69 = 58 x 1 + 11
We consider the new divisor 58 and the new remainder 11,and apply the division lemma to get
58 = 11 x 5 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 519 and 323 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(58,11) = HCF(69,58) = HCF(127,69) = HCF(196,127) = HCF(323,196) = HCF(519,323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 368 > 1, we apply the division lemma to 368 and 1, to get
368 = 1 x 368 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 368 is 1
Notice that 1 = HCF(368,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
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Frequently Asked Questions on HCF of 519, 323, 368, 17 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 519, 323, 368, 17?
Answer: HCF of 519, 323, 368, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 519, 323, 368, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 519, 323, 368, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.