Highest Common Factor of 930, 519 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 930, 519 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 930, 519 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 930, 519 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 930, 519 is 3.
HCF(930, 519) = 3
HCF of 930, 519 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 930, 519 is 3.
Highest Common Factor of 930,519 is 3
Step 1: Since 930 > 519, we apply the division lemma to 930 and 519, to get
930 = 519 x 1 + 411
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 411 and 519, to get
519 = 411 x 1 + 108
Step 3: We consider the new divisor 411 and the new remainder 108, and apply the division lemma to get
411 = 108 x 3 + 87
We consider the new divisor 108 and the new remainder 87,and apply the division lemma to get
108 = 87 x 1 + 21
We consider the new divisor 87 and the new remainder 21,and apply the division lemma to get
87 = 21 x 4 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 930 and 519 is 3
Notice that 3 = HCF(21,3) = HCF(87,21) = HCF(108,87) = HCF(411,108) = HCF(519,411) = HCF(930,519) .
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Frequently Asked Questions on HCF of 930, 519 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 930, 519?
Answer: HCF of 930, 519 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 930, 519 using Euclid's Algorithm?
Answer: For arbitrary numbers 930, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.