Highest Common Factor of 623, 407, 513 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, 407, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 407, 513 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, 407, 513 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, 407, 513 is 1.
HCF(623, 407, 513) = 1
HCF of 623, 407, 513 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, 407, 513 is 1.
Highest Common Factor of 623,407,513 is 1
Step 1: Since 623 > 407, we apply the division lemma to 623 and 407, to get
623 = 407 x 1 + 216
Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 216 and 407, to get
407 = 216 x 1 + 191
Step 3: We consider the new divisor 216 and the new remainder 191, and apply the division lemma to get
216 = 191 x 1 + 25
We consider the new divisor 191 and the new remainder 25,and apply the division lemma to get
191 = 25 x 7 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 407 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(191,25) = HCF(216,191) = HCF(407,216) = HCF(623,407) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 1, we apply the division lemma to 513 and 1, to get
513 = 1 x 513 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 513 is 1
Notice that 1 = HCF(513,1) .
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Frequently Asked Questions on HCF of 623, 407, 513 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, 407, 513?
Answer: HCF of 623, 407, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 407, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 407, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.