Highest Common Factor of 3659, 8059, 80560 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 3659, 8059, 80560 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3659, 8059, 80560 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 3659, 8059, 80560 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 3659, 8059, 80560 is 1.
HCF(3659, 8059, 80560) = 1
HCF of 3659, 8059, 80560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3659, 8059, 80560 is 1.
Highest Common Factor of 3659,8059,80560 is 1
Step 1: Since 8059 > 3659, we apply the division lemma to 8059 and 3659, to get
8059 = 3659 x 2 + 741
Step 2: Since the reminder 3659 ≠ 0, we apply division lemma to 741 and 3659, to get
3659 = 741 x 4 + 695
Step 3: We consider the new divisor 741 and the new remainder 695, and apply the division lemma to get
741 = 695 x 1 + 46
We consider the new divisor 695 and the new remainder 46,and apply the division lemma to get
695 = 46 x 15 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3659 and 8059 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(695,46) = HCF(741,695) = HCF(3659,741) = HCF(8059,3659) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80560 > 1, we apply the division lemma to 80560 and 1, to get
80560 = 1 x 80560 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80560 is 1
Notice that 1 = HCF(80560,1) .
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Frequently Asked Questions on HCF of 3659, 8059, 80560 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 3659, 8059, 80560?
Answer: HCF of 3659, 8059, 80560 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3659, 8059, 80560 using Euclid's Algorithm?
Answer: For arbitrary numbers 3659, 8059, 80560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.