Highest Common Factor of 519, 699 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, 699 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 519, 699 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, 699 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, 699 is 3.
HCF(519, 699) = 3
HCF of 519, 699 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, 699 is 3.
Highest Common Factor of 519,699 is 3
Step 1: Since 699 > 519, we apply the division lemma to 699 and 519, to get
699 = 519 x 1 + 180
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 180 and 519, to get
519 = 180 x 2 + 159
Step 3: We consider the new divisor 180 and the new remainder 159, and apply the division lemma to get
180 = 159 x 1 + 21
We consider the new divisor 159 and the new remainder 21,and apply the division lemma to get
159 = 21 x 7 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 519 and 699 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(159,21) = HCF(180,159) = HCF(519,180) = HCF(699,519) .
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Frequently Asked Questions on HCF of 519, 699 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, 699?
Answer: HCF of 519, 699 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 519, 699 using Euclid's Algorithm?
Answer: For arbitrary numbers 519, 699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.