Highest Common Factor of 2509, 7165 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 2509, 7165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2509, 7165 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 2509, 7165 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 2509, 7165 is 1.
HCF(2509, 7165) = 1
HCF of 2509, 7165 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2509, 7165 is 1.
Highest Common Factor of 2509,7165 is 1
Step 1: Since 7165 > 2509, we apply the division lemma to 7165 and 2509, to get
7165 = 2509 x 2 + 2147
Step 2: Since the reminder 2509 ≠ 0, we apply division lemma to 2147 and 2509, to get
2509 = 2147 x 1 + 362
Step 3: We consider the new divisor 2147 and the new remainder 362, and apply the division lemma to get
2147 = 362 x 5 + 337
We consider the new divisor 362 and the new remainder 337,and apply the division lemma to get
362 = 337 x 1 + 25
We consider the new divisor 337 and the new remainder 25,and apply the division lemma to get
337 = 25 x 13 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2509 and 7165 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(337,25) = HCF(362,337) = HCF(2147,362) = HCF(2509,2147) = HCF(7165,2509) .
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Frequently Asked Questions on HCF of 2509, 7165 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 2509, 7165?
Answer: HCF of 2509, 7165 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2509, 7165 using Euclid's Algorithm?
Answer: For arbitrary numbers 2509, 7165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.