Highest Common Factor of 3529, 2589 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 3529, 2589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3529, 2589 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 3529, 2589 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 3529, 2589 is 1.
HCF(3529, 2589) = 1
HCF of 3529, 2589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3529, 2589 is 1.
Highest Common Factor of 3529,2589 is 1
Step 1: Since 3529 > 2589, we apply the division lemma to 3529 and 2589, to get
3529 = 2589 x 1 + 940
Step 2: Since the reminder 2589 ≠ 0, we apply division lemma to 940 and 2589, to get
2589 = 940 x 2 + 709
Step 3: We consider the new divisor 940 and the new remainder 709, and apply the division lemma to get
940 = 709 x 1 + 231
We consider the new divisor 709 and the new remainder 231,and apply the division lemma to get
709 = 231 x 3 + 16
We consider the new divisor 231 and the new remainder 16,and apply the division lemma to get
231 = 16 x 14 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3529 and 2589 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(231,16) = HCF(709,231) = HCF(940,709) = HCF(2589,940) = HCF(3529,2589) .
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Frequently Asked Questions on HCF of 3529, 2589 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 3529, 2589?
Answer: HCF of 3529, 2589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3529, 2589 using Euclid's Algorithm?
Answer: For arbitrary numbers 3529, 2589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.