Highest Common Factor of 2728, 3013 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 2728, 3013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2728, 3013 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 2728, 3013 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 2728, 3013 is 1.
HCF(2728, 3013) = 1
HCF of 2728, 3013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2728, 3013 is 1.
Highest Common Factor of 2728,3013 is 1
Step 1: Since 3013 > 2728, we apply the division lemma to 3013 and 2728, to get
3013 = 2728 x 1 + 285
Step 2: Since the reminder 2728 ≠ 0, we apply division lemma to 285 and 2728, to get
2728 = 285 x 9 + 163
Step 3: We consider the new divisor 285 and the new remainder 163, and apply the division lemma to get
285 = 163 x 1 + 122
We consider the new divisor 163 and the new remainder 122,and apply the division lemma to get
163 = 122 x 1 + 41
We consider the new divisor 122 and the new remainder 41,and apply the division lemma to get
122 = 41 x 2 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2728 and 3013 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(122,41) = HCF(163,122) = HCF(285,163) = HCF(2728,285) = HCF(3013,2728) .
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Frequently Asked Questions on HCF of 2728, 3013 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 2728, 3013?
Answer: HCF of 2728, 3013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2728, 3013 using Euclid's Algorithm?
Answer: For arbitrary numbers 2728, 3013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.