Highest Common Factor of 623, 516, 311 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 623, 516, 311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 516, 311 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 623, 516, 311 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 623, 516, 311 is 1.
HCF(623, 516, 311) = 1
HCF of 623, 516, 311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 516, 311 is 1.
Highest Common Factor of 623,516,311 is 1
Step 1: Since 623 > 516, we apply the division lemma to 623 and 516, to get
623 = 516 x 1 + 107
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 107 and 516, to get
516 = 107 x 4 + 88
Step 3: We consider the new divisor 107 and the new remainder 88, and apply the division lemma to get
107 = 88 x 1 + 19
We consider the new divisor 88 and the new remainder 19,and apply the division lemma to get
88 = 19 x 4 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 623 and 516 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(88,19) = HCF(107,88) = HCF(516,107) = HCF(623,516) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 311 > 1, we apply the division lemma to 311 and 1, to get
311 = 1 x 311 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 311 is 1
Notice that 1 = HCF(311,1) .
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Frequently Asked Questions on HCF of 623, 516, 311 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 623, 516, 311?
Answer: HCF of 623, 516, 311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 516, 311 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 516, 311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.