Highest Common Factor of 405, 6131, 8419 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 405, 6131, 8419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 405, 6131, 8419 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 405, 6131, 8419 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 405, 6131, 8419 is 1.
HCF(405, 6131, 8419) = 1
HCF of 405, 6131, 8419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 405, 6131, 8419 is 1.
Highest Common Factor of 405,6131,8419 is 1
Step 1: Since 6131 > 405, we apply the division lemma to 6131 and 405, to get
6131 = 405 x 15 + 56
Step 2: Since the reminder 405 ≠ 0, we apply division lemma to 56 and 405, to get
405 = 56 x 7 + 13
Step 3: We consider the new divisor 56 and the new remainder 13, and apply the division lemma to get
56 = 13 x 4 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 405 and 6131 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(56,13) = HCF(405,56) = HCF(6131,405) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8419 > 1, we apply the division lemma to 8419 and 1, to get
8419 = 1 x 8419 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8419 is 1
Notice that 1 = HCF(8419,1) .
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Frequently Asked Questions on HCF of 405, 6131, 8419 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 405, 6131, 8419?
Answer: HCF of 405, 6131, 8419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 405, 6131, 8419 using Euclid's Algorithm?
Answer: For arbitrary numbers 405, 6131, 8419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.