Highest Common Factor of 519, 821, 853 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, 821, 853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 519, 821, 853 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 519, 821, 853 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, 821, 853 is 1.
HCF(519, 821, 853) = 1
HCF of 519, 821, 853 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, 821, 853 is 1.
Highest Common Factor of 519,821,853 is 1
Step 1: Since 821 > 519, we apply the division lemma to 821 and 519, to get
821 = 519 x 1 + 302
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 302 and 519, to get
519 = 302 x 1 + 217
Step 3: We consider the new divisor 302 and the new remainder 217, and apply the division lemma to get
302 = 217 x 1 + 85
We consider the new divisor 217 and the new remainder 85,and apply the division lemma to get
217 = 85 x 2 + 47
We consider the new divisor 85 and the new remainder 47,and apply the division lemma to get
85 = 47 x 1 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 519 and 821 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(85,47) = HCF(217,85) = HCF(302,217) = HCF(519,302) = HCF(821,519) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 853 > 1, we apply the division lemma to 853 and 1, to get
853 = 1 x 853 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 853 is 1
Notice that 1 = HCF(853,1) .
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Frequently Asked Questions on HCF of 519, 821, 853 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, 821, 853?
Answer: HCF of 519, 821, 853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 519, 821, 853 using Euclid's Algorithm?
Answer: For arbitrary numbers 519, 821, 853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.