Highest Common Factor of 2519, 6017 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 2519, 6017 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 2519, 6017 is 11 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 2519, 6017 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 2519, 6017 is 11.
HCF(2519, 6017) = 11
HCF of 2519, 6017 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2519, 6017 is 11.
Highest Common Factor of 2519,6017 is 11
Step 1: Since 6017 > 2519, we apply the division lemma to 6017 and 2519, to get
6017 = 2519 x 2 + 979
Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 979 and 2519, to get
2519 = 979 x 2 + 561
Step 3: We consider the new divisor 979 and the new remainder 561, and apply the division lemma to get
979 = 561 x 1 + 418
We consider the new divisor 561 and the new remainder 418,and apply the division lemma to get
561 = 418 x 1 + 143
We consider the new divisor 418 and the new remainder 143,and apply the division lemma to get
418 = 143 x 2 + 132
We consider the new divisor 143 and the new remainder 132,and apply the division lemma to get
143 = 132 x 1 + 11
We consider the new divisor 132 and the new remainder 11,and apply the division lemma to get
132 = 11 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 2519 and 6017 is 11
Notice that 11 = HCF(132,11) = HCF(143,132) = HCF(418,143) = HCF(561,418) = HCF(979,561) = HCF(2519,979) = HCF(6017,2519) .
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Frequently Asked Questions on HCF of 2519, 6017 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 2519, 6017?
Answer: HCF of 2519, 6017 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2519, 6017 using Euclid's Algorithm?
Answer: For arbitrary numbers 2519, 6017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.