Highest Common Factor of 2275, 5897 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 2275, 5897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2275, 5897 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 2275, 5897 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 2275, 5897 is 1.
HCF(2275, 5897) = 1
HCF of 2275, 5897 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2275, 5897 is 1.
Highest Common Factor of 2275,5897 is 1
Step 1: Since 5897 > 2275, we apply the division lemma to 5897 and 2275, to get
5897 = 2275 x 2 + 1347
Step 2: Since the reminder 2275 ≠ 0, we apply division lemma to 1347 and 2275, to get
2275 = 1347 x 1 + 928
Step 3: We consider the new divisor 1347 and the new remainder 928, and apply the division lemma to get
1347 = 928 x 1 + 419
We consider the new divisor 928 and the new remainder 419,and apply the division lemma to get
928 = 419 x 2 + 90
We consider the new divisor 419 and the new remainder 90,and apply the division lemma to get
419 = 90 x 4 + 59
We consider the new divisor 90 and the new remainder 59,and apply the division lemma to get
90 = 59 x 1 + 31
We consider the new divisor 59 and the new remainder 31,and apply the division lemma to get
59 = 31 x 1 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2275 and 5897 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(59,31) = HCF(90,59) = HCF(419,90) = HCF(928,419) = HCF(1347,928) = HCF(2275,1347) = HCF(5897,2275) .
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Frequently Asked Questions on HCF of 2275, 5897 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 2275, 5897?
Answer: HCF of 2275, 5897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2275, 5897 using Euclid's Algorithm?
Answer: For arbitrary numbers 2275, 5897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
