Highest Common Factor of 2815, 8897, 52838 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 2815, 8897, 52838 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2815, 8897, 52838 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 2815, 8897, 52838 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 2815, 8897, 52838 is 1.
HCF(2815, 8897, 52838) = 1
HCF of 2815, 8897, 52838 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2815, 8897, 52838 is 1.
Highest Common Factor of 2815,8897,52838 is 1
Step 1: Since 8897 > 2815, we apply the division lemma to 8897 and 2815, to get
8897 = 2815 x 3 + 452
Step 2: Since the reminder 2815 ≠ 0, we apply division lemma to 452 and 2815, to get
2815 = 452 x 6 + 103
Step 3: We consider the new divisor 452 and the new remainder 103, and apply the division lemma to get
452 = 103 x 4 + 40
We consider the new divisor 103 and the new remainder 40,and apply the division lemma to get
103 = 40 x 2 + 23
We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get
40 = 23 x 1 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2815 and 8897 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(103,40) = HCF(452,103) = HCF(2815,452) = HCF(8897,2815) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52838 > 1, we apply the division lemma to 52838 and 1, to get
52838 = 1 x 52838 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52838 is 1
Notice that 1 = HCF(52838,1) .
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Frequently Asked Questions on HCF of 2815, 8897, 52838 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 2815, 8897, 52838?
Answer: HCF of 2815, 8897, 52838 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2815, 8897, 52838 using Euclid's Algorithm?
Answer: For arbitrary numbers 2815, 8897, 52838 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.