Highest Common Factor of 603, 519, 811, 545 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 603, 519, 811, 545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 603, 519, 811, 545 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 603, 519, 811, 545 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 603, 519, 811, 545 is 1.
HCF(603, 519, 811, 545) = 1
HCF of 603, 519, 811, 545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 603, 519, 811, 545 is 1.
Highest Common Factor of 603,519,811,545 is 1
Step 1: Since 603 > 519, we apply the division lemma to 603 and 519, to get
603 = 519 x 1 + 84
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 84 and 519, to get
519 = 84 x 6 + 15
Step 3: We consider the new divisor 84 and the new remainder 15, and apply the division lemma to get
84 = 15 x 5 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 603 and 519 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(84,15) = HCF(519,84) = HCF(603,519) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 811 > 3, we apply the division lemma to 811 and 3, to get
811 = 3 x 270 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 811 is 1
Notice that 1 = HCF(3,1) = HCF(811,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 545 > 1, we apply the division lemma to 545 and 1, to get
545 = 1 x 545 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 545 is 1
Notice that 1 = HCF(545,1) .
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Frequently Asked Questions on HCF of 603, 519, 811, 545 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 603, 519, 811, 545?
Answer: HCF of 603, 519, 811, 545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 603, 519, 811, 545 using Euclid's Algorithm?
Answer: For arbitrary numbers 603, 519, 811, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.