Highest Common Factor of 5010, 2053, 32806 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 5010, 2053, 32806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5010, 2053, 32806 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 5010, 2053, 32806 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 5010, 2053, 32806 is 1.
HCF(5010, 2053, 32806) = 1
HCF of 5010, 2053, 32806 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5010, 2053, 32806 is 1.
Highest Common Factor of 5010,2053,32806 is 1
Step 1: Since 5010 > 2053, we apply the division lemma to 5010 and 2053, to get
5010 = 2053 x 2 + 904
Step 2: Since the reminder 2053 ≠ 0, we apply division lemma to 904 and 2053, to get
2053 = 904 x 2 + 245
Step 3: We consider the new divisor 904 and the new remainder 245, and apply the division lemma to get
904 = 245 x 3 + 169
We consider the new divisor 245 and the new remainder 169,and apply the division lemma to get
245 = 169 x 1 + 76
We consider the new divisor 169 and the new remainder 76,and apply the division lemma to get
169 = 76 x 2 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5010 and 2053 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(169,76) = HCF(245,169) = HCF(904,245) = HCF(2053,904) = HCF(5010,2053) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32806 > 1, we apply the division lemma to 32806 and 1, to get
32806 = 1 x 32806 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32806 is 1
Notice that 1 = HCF(32806,1) .
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Frequently Asked Questions on HCF of 5010, 2053, 32806 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 5010, 2053, 32806?
Answer: HCF of 5010, 2053, 32806 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5010, 2053, 32806 using Euclid's Algorithm?
Answer: For arbitrary numbers 5010, 2053, 32806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.