Highest Common Factor of 3602, 2586 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 3602, 2586 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3602, 2586 is 2 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 3602, 2586 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 3602, 2586 is 2.
HCF(3602, 2586) = 2
HCF of 3602, 2586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3602, 2586 is 2.
Highest Common Factor of 3602,2586 is 2
Step 1: Since 3602 > 2586, we apply the division lemma to 3602 and 2586, to get
3602 = 2586 x 1 + 1016
Step 2: Since the reminder 2586 ≠ 0, we apply division lemma to 1016 and 2586, to get
2586 = 1016 x 2 + 554
Step 3: We consider the new divisor 1016 and the new remainder 554, and apply the division lemma to get
1016 = 554 x 1 + 462
We consider the new divisor 554 and the new remainder 462,and apply the division lemma to get
554 = 462 x 1 + 92
We consider the new divisor 462 and the new remainder 92,and apply the division lemma to get
462 = 92 x 5 + 2
We consider the new divisor 92 and the new remainder 2,and apply the division lemma to get
92 = 2 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3602 and 2586 is 2
Notice that 2 = HCF(92,2) = HCF(462,92) = HCF(554,462) = HCF(1016,554) = HCF(2586,1016) = HCF(3602,2586) .
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Frequently Asked Questions on HCF of 3602, 2586 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 3602, 2586?
Answer: HCF of 3602, 2586 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3602, 2586 using Euclid's Algorithm?
Answer: For arbitrary numbers 3602, 2586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
