Highest Common Factor of 104, 165, 809 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 104, 165, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 104, 165, 809 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 104, 165, 809 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 104, 165, 809 is 1.
HCF(104, 165, 809) = 1
HCF of 104, 165, 809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 104, 165, 809 is 1.
Highest Common Factor of 104,165,809 is 1
Step 1: Since 165 > 104, we apply the division lemma to 165 and 104, to get
165 = 104 x 1 + 61
Step 2: Since the reminder 104 ≠ 0, we apply division lemma to 61 and 104, to get
104 = 61 x 1 + 43
Step 3: We consider the new divisor 61 and the new remainder 43, and apply the division lemma to get
61 = 43 x 1 + 18
We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get
43 = 18 x 2 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 104 and 165 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(61,43) = HCF(104,61) = HCF(165,104) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 809 > 1, we apply the division lemma to 809 and 1, to get
809 = 1 x 809 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 809 is 1
Notice that 1 = HCF(809,1) .
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Frequently Asked Questions on HCF of 104, 165, 809 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 104, 165, 809?
Answer: HCF of 104, 165, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 104, 165, 809 using Euclid's Algorithm?
Answer: For arbitrary numbers 104, 165, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
