Highest Common Factor of 2897, 5681 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 2897, 5681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2897, 5681 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 2897, 5681 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 2897, 5681 is 1.
HCF(2897, 5681) = 1
HCF of 2897, 5681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2897, 5681 is 1.
Highest Common Factor of 2897,5681 is 1
Step 1: Since 5681 > 2897, we apply the division lemma to 5681 and 2897, to get
5681 = 2897 x 1 + 2784
Step 2: Since the reminder 2897 ≠ 0, we apply division lemma to 2784 and 2897, to get
2897 = 2784 x 1 + 113
Step 3: We consider the new divisor 2784 and the new remainder 113, and apply the division lemma to get
2784 = 113 x 24 + 72
We consider the new divisor 113 and the new remainder 72,and apply the division lemma to get
113 = 72 x 1 + 41
We consider the new divisor 72 and the new remainder 41,and apply the division lemma to get
72 = 41 x 1 + 31
We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get
41 = 31 x 1 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2897 and 5681 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(72,41) = HCF(113,72) = HCF(2784,113) = HCF(2897,2784) = HCF(5681,2897) .
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Frequently Asked Questions on HCF of 2897, 5681 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 2897, 5681?
Answer: HCF of 2897, 5681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2897, 5681 using Euclid's Algorithm?
Answer: For arbitrary numbers 2897, 5681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.