Highest Common Factor of 6590, 2582 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 6590, 2582 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6590, 2582 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 6590, 2582 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 6590, 2582 is 2.
HCF(6590, 2582) = 2
HCF of 6590, 2582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6590, 2582 is 2.
Highest Common Factor of 6590,2582 is 2
Step 1: Since 6590 > 2582, we apply the division lemma to 6590 and 2582, to get
6590 = 2582 x 2 + 1426
Step 2: Since the reminder 2582 ≠ 0, we apply division lemma to 1426 and 2582, to get
2582 = 1426 x 1 + 1156
Step 3: We consider the new divisor 1426 and the new remainder 1156, and apply the division lemma to get
1426 = 1156 x 1 + 270
We consider the new divisor 1156 and the new remainder 270,and apply the division lemma to get
1156 = 270 x 4 + 76
We consider the new divisor 270 and the new remainder 76,and apply the division lemma to get
270 = 76 x 3 + 42
We consider the new divisor 76 and the new remainder 42,and apply the division lemma to get
76 = 42 x 1 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6590 and 2582 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(76,42) = HCF(270,76) = HCF(1156,270) = HCF(1426,1156) = HCF(2582,1426) = HCF(6590,2582) .
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Frequently Asked Questions on HCF of 6590, 2582 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 6590, 2582?
Answer: HCF of 6590, 2582 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6590, 2582 using Euclid's Algorithm?
Answer: For arbitrary numbers 6590, 2582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.