Highest Common Factor of 2697, 3571 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 2697, 3571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2697, 3571 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 2697, 3571 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 2697, 3571 is 1.
HCF(2697, 3571) = 1
HCF of 2697, 3571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2697, 3571 is 1.
Highest Common Factor of 2697,3571 is 1
Step 1: Since 3571 > 2697, we apply the division lemma to 3571 and 2697, to get
3571 = 2697 x 1 + 874
Step 2: Since the reminder 2697 ≠ 0, we apply division lemma to 874 and 2697, to get
2697 = 874 x 3 + 75
Step 3: We consider the new divisor 874 and the new remainder 75, and apply the division lemma to get
874 = 75 x 11 + 49
We consider the new divisor 75 and the new remainder 49,and apply the division lemma to get
75 = 49 x 1 + 26
We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get
49 = 26 x 1 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 2697 and 3571 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(75,49) = HCF(874,75) = HCF(2697,874) = HCF(3571,2697) .
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Frequently Asked Questions on HCF of 2697, 3571 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 2697, 3571?
Answer: HCF of 2697, 3571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2697, 3571 using Euclid's Algorithm?
Answer: For arbitrary numbers 2697, 3571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.