Highest Common Factor of 8090, 5797, 46156 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 8090, 5797, 46156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8090, 5797, 46156 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 8090, 5797, 46156 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 8090, 5797, 46156 is 1.
HCF(8090, 5797, 46156) = 1
HCF of 8090, 5797, 46156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8090, 5797, 46156 is 1.
Highest Common Factor of 8090,5797,46156 is 1
Step 1: Since 8090 > 5797, we apply the division lemma to 8090 and 5797, to get
8090 = 5797 x 1 + 2293
Step 2: Since the reminder 5797 ≠ 0, we apply division lemma to 2293 and 5797, to get
5797 = 2293 x 2 + 1211
Step 3: We consider the new divisor 2293 and the new remainder 1211, and apply the division lemma to get
2293 = 1211 x 1 + 1082
We consider the new divisor 1211 and the new remainder 1082,and apply the division lemma to get
1211 = 1082 x 1 + 129
We consider the new divisor 1082 and the new remainder 129,and apply the division lemma to get
1082 = 129 x 8 + 50
We consider the new divisor 129 and the new remainder 50,and apply the division lemma to get
129 = 50 x 2 + 29
We consider the new divisor 50 and the new remainder 29,and apply the division lemma to get
50 = 29 x 1 + 21
We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get
29 = 21 x 1 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 8090 and 5797 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(129,50) = HCF(1082,129) = HCF(1211,1082) = HCF(2293,1211) = HCF(5797,2293) = HCF(8090,5797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46156 > 1, we apply the division lemma to 46156 and 1, to get
46156 = 1 x 46156 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46156 is 1
Notice that 1 = HCF(46156,1) .
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Frequently Asked Questions on HCF of 8090, 5797, 46156 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 8090, 5797, 46156?
Answer: HCF of 8090, 5797, 46156 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8090, 5797, 46156 using Euclid's Algorithm?
Answer: For arbitrary numbers 8090, 5797, 46156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
