Highest Common Factor of 2809, 6080, 30582 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 2809, 6080, 30582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2809, 6080, 30582 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 2809, 6080, 30582 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 2809, 6080, 30582 is 1.
HCF(2809, 6080, 30582) = 1
HCF of 2809, 6080, 30582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2809, 6080, 30582 is 1.
Highest Common Factor of 2809,6080,30582 is 1
Step 1: Since 6080 > 2809, we apply the division lemma to 6080 and 2809, to get
6080 = 2809 x 2 + 462
Step 2: Since the reminder 2809 ≠ 0, we apply division lemma to 462 and 2809, to get
2809 = 462 x 6 + 37
Step 3: We consider the new divisor 462 and the new remainder 37, and apply the division lemma to get
462 = 37 x 12 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2809 and 6080 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(462,37) = HCF(2809,462) = HCF(6080,2809) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30582 > 1, we apply the division lemma to 30582 and 1, to get
30582 = 1 x 30582 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30582 is 1
Notice that 1 = HCF(30582,1) .
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Frequently Asked Questions on HCF of 2809, 6080, 30582 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 2809, 6080, 30582?
Answer: HCF of 2809, 6080, 30582 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2809, 6080, 30582 using Euclid's Algorithm?
Answer: For arbitrary numbers 2809, 6080, 30582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.