Highest Common Factor of 519, 825, 576 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, 825, 576 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 519, 825, 576 is 3 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, 825, 576 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, 825, 576 is 3.
HCF(519, 825, 576) = 3
HCF of 519, 825, 576 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, 825, 576 is 3.
Highest Common Factor of 519,825,576 is 3
Step 1: Since 825 > 519, we apply the division lemma to 825 and 519, to get
825 = 519 x 1 + 306
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 306 and 519, to get
519 = 306 x 1 + 213
Step 3: We consider the new divisor 306 and the new remainder 213, and apply the division lemma to get
306 = 213 x 1 + 93
We consider the new divisor 213 and the new remainder 93,and apply the division lemma to get
213 = 93 x 2 + 27
We consider the new divisor 93 and the new remainder 27,and apply the division lemma to get
93 = 27 x 3 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 519 and 825 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(93,27) = HCF(213,93) = HCF(306,213) = HCF(519,306) = HCF(825,519) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 576 > 3, we apply the division lemma to 576 and 3, to get
576 = 3 x 192 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 576 is 3
Notice that 3 = HCF(576,3) .
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Frequently Asked Questions on HCF of 519, 825, 576 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, 825, 576?
Answer: HCF of 519, 825, 576 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 519, 825, 576 using Euclid's Algorithm?
Answer: For arbitrary numbers 519, 825, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.