Highest Common Factor of 2582, 6556 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 2582, 6556 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2582, 6556 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 2582, 6556 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 2582, 6556 is 2.
HCF(2582, 6556) = 2
HCF of 2582, 6556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2582, 6556 is 2.
Highest Common Factor of 2582,6556 is 2
Step 1: Since 6556 > 2582, we apply the division lemma to 6556 and 2582, to get
6556 = 2582 x 2 + 1392
Step 2: Since the reminder 2582 ≠ 0, we apply division lemma to 1392 and 2582, to get
2582 = 1392 x 1 + 1190
Step 3: We consider the new divisor 1392 and the new remainder 1190, and apply the division lemma to get
1392 = 1190 x 1 + 202
We consider the new divisor 1190 and the new remainder 202,and apply the division lemma to get
1190 = 202 x 5 + 180
We consider the new divisor 202 and the new remainder 180,and apply the division lemma to get
202 = 180 x 1 + 22
We consider the new divisor 180 and the new remainder 22,and apply the division lemma to get
180 = 22 x 8 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2582 and 6556 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(180,22) = HCF(202,180) = HCF(1190,202) = HCF(1392,1190) = HCF(2582,1392) = HCF(6556,2582) .
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Frequently Asked Questions on HCF of 2582, 6556 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 2582, 6556?
Answer: HCF of 2582, 6556 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2582, 6556 using Euclid's Algorithm?
Answer: For arbitrary numbers 2582, 6556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.