Highest Common Factor of 2589, 9109 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 2589, 9109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2589, 9109 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 2589, 9109 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 2589, 9109 is 1.
HCF(2589, 9109) = 1
HCF of 2589, 9109 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2589, 9109 is 1.
Highest Common Factor of 2589,9109 is 1
Step 1: Since 9109 > 2589, we apply the division lemma to 9109 and 2589, to get
9109 = 2589 x 3 + 1342
Step 2: Since the reminder 2589 ≠ 0, we apply division lemma to 1342 and 2589, to get
2589 = 1342 x 1 + 1247
Step 3: We consider the new divisor 1342 and the new remainder 1247, and apply the division lemma to get
1342 = 1247 x 1 + 95
We consider the new divisor 1247 and the new remainder 95,and apply the division lemma to get
1247 = 95 x 13 + 12
We consider the new divisor 95 and the new remainder 12,and apply the division lemma to get
95 = 12 x 7 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2589 and 9109 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(95,12) = HCF(1247,95) = HCF(1342,1247) = HCF(2589,1342) = HCF(9109,2589) .
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Frequently Asked Questions on HCF of 2589, 9109 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 2589, 9109?
Answer: HCF of 2589, 9109 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2589, 9109 using Euclid's Algorithm?
Answer: For arbitrary numbers 2589, 9109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.