Highest Common Factor of 8165, 6141, 46844 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 8165, 6141, 46844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8165, 6141, 46844 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 8165, 6141, 46844 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 8165, 6141, 46844 is 1.
HCF(8165, 6141, 46844) = 1
HCF of 8165, 6141, 46844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8165, 6141, 46844 is 1.
Highest Common Factor of 8165,6141,46844 is 1
Step 1: Since 8165 > 6141, we apply the division lemma to 8165 and 6141, to get
8165 = 6141 x 1 + 2024
Step 2: Since the reminder 6141 ≠ 0, we apply division lemma to 2024 and 6141, to get
6141 = 2024 x 3 + 69
Step 3: We consider the new divisor 2024 and the new remainder 69, and apply the division lemma to get
2024 = 69 x 29 + 23
We consider the new divisor 69 and the new remainder 23, and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 8165 and 6141 is 23
Notice that 23 = HCF(69,23) = HCF(2024,69) = HCF(6141,2024) = HCF(8165,6141) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46844 > 23, we apply the division lemma to 46844 and 23, to get
46844 = 23 x 2036 + 16
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 16 and 23, to get
23 = 16 x 1 + 7
Step 3: We consider the new divisor 16 and the new remainder 7, and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 23 and 46844 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(46844,23) .
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Frequently Asked Questions on HCF of 8165, 6141, 46844 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 8165, 6141, 46844?
Answer: HCF of 8165, 6141, 46844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8165, 6141, 46844 using Euclid's Algorithm?
Answer: For arbitrary numbers 8165, 6141, 46844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
