Highest Common Factor of 2822, 6040, 65629 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 2822, 6040, 65629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2822, 6040, 65629 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 2822, 6040, 65629 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 2822, 6040, 65629 is 1.
HCF(2822, 6040, 65629) = 1
HCF of 2822, 6040, 65629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2822, 6040, 65629 is 1.
Highest Common Factor of 2822,6040,65629 is 1
Step 1: Since 6040 > 2822, we apply the division lemma to 6040 and 2822, to get
6040 = 2822 x 2 + 396
Step 2: Since the reminder 2822 ≠ 0, we apply division lemma to 396 and 2822, to get
2822 = 396 x 7 + 50
Step 3: We consider the new divisor 396 and the new remainder 50, and apply the division lemma to get
396 = 50 x 7 + 46
We consider the new divisor 50 and the new remainder 46,and apply the division lemma to get
50 = 46 x 1 + 4
We consider the new divisor 46 and the new remainder 4,and apply the division lemma to get
46 = 4 x 11 + 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 2822 and 6040 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(396,50) = HCF(2822,396) = HCF(6040,2822) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65629 > 2, we apply the division lemma to 65629 and 2, to get
65629 = 2 x 32814 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 65629 is 1
Notice that 1 = HCF(2,1) = HCF(65629,2) .
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Frequently Asked Questions on HCF of 2822, 6040, 65629 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 2822, 6040, 65629?
Answer: HCF of 2822, 6040, 65629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2822, 6040, 65629 using Euclid's Algorithm?
Answer: For arbitrary numbers 2822, 6040, 65629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
