Highest Common Factor of 129, 817, 865 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 129, 817, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 129, 817, 865 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 129, 817, 865 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 129, 817, 865 is 1.
HCF(129, 817, 865) = 1
HCF of 129, 817, 865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 129, 817, 865 is 1.
Highest Common Factor of 129,817,865 is 1
Step 1: Since 817 > 129, we apply the division lemma to 817 and 129, to get
817 = 129 x 6 + 43
Step 2: Since the reminder 129 ≠ 0, we apply division lemma to 43 and 129, to get
129 = 43 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 129 and 817 is 43
Notice that 43 = HCF(129,43) = HCF(817,129) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 865 > 43, we apply the division lemma to 865 and 43, to get
865 = 43 x 20 + 5
Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 5 and 43, to get
43 = 5 x 8 + 3
Step 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 43 and 865 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(865,43) .
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Frequently Asked Questions on HCF of 129, 817, 865 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 129, 817, 865?
Answer: HCF of 129, 817, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 129, 817, 865 using Euclid's Algorithm?
Answer: For arbitrary numbers 129, 817, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
