Highest Common Factor of 4005, 8819, 40172 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 4005, 8819, 40172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4005, 8819, 40172 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 4005, 8819, 40172 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 4005, 8819, 40172 is 1.
HCF(4005, 8819, 40172) = 1
HCF of 4005, 8819, 40172 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4005, 8819, 40172 is 1.
Highest Common Factor of 4005,8819,40172 is 1
Step 1: Since 8819 > 4005, we apply the division lemma to 8819 and 4005, to get
8819 = 4005 x 2 + 809
Step 2: Since the reminder 4005 ≠ 0, we apply division lemma to 809 and 4005, to get
4005 = 809 x 4 + 769
Step 3: We consider the new divisor 809 and the new remainder 769, and apply the division lemma to get
809 = 769 x 1 + 40
We consider the new divisor 769 and the new remainder 40,and apply the division lemma to get
769 = 40 x 19 + 9
We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get
40 = 9 x 4 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 4005 and 8819 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(769,40) = HCF(809,769) = HCF(4005,809) = HCF(8819,4005) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40172 > 1, we apply the division lemma to 40172 and 1, to get
40172 = 1 x 40172 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40172 is 1
Notice that 1 = HCF(40172,1) .
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Frequently Asked Questions on HCF of 4005, 8819, 40172 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 4005, 8819, 40172?
Answer: HCF of 4005, 8819, 40172 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4005, 8819, 40172 using Euclid's Algorithm?
Answer: For arbitrary numbers 4005, 8819, 40172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
