Highest Common Factor of 515, 6036 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 515, 6036 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 6036 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 515, 6036 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 515, 6036 is 1.
HCF(515, 6036) = 1
HCF of 515, 6036 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 6036 is 1.
Highest Common Factor of 515,6036 is 1
Step 1: Since 6036 > 515, we apply the division lemma to 6036 and 515, to get
6036 = 515 x 11 + 371
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 371 and 515, to get
515 = 371 x 1 + 144
Step 3: We consider the new divisor 371 and the new remainder 144, and apply the division lemma to get
371 = 144 x 2 + 83
We consider the new divisor 144 and the new remainder 83,and apply the division lemma to get
144 = 83 x 1 + 61
We consider the new divisor 83 and the new remainder 61,and apply the division lemma to get
83 = 61 x 1 + 22
We consider the new divisor 61 and the new remainder 22,and apply the division lemma to get
61 = 22 x 2 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 515 and 6036 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(61,22) = HCF(83,61) = HCF(144,83) = HCF(371,144) = HCF(515,371) = HCF(6036,515) .
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Frequently Asked Questions on HCF of 515, 6036 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 515, 6036?
Answer: HCF of 515, 6036 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 6036 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 6036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.