Highest Common Factor of 3609, 3001, 72709 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 3609, 3001, 72709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3609, 3001, 72709 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 3609, 3001, 72709 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 3609, 3001, 72709 is 1.
HCF(3609, 3001, 72709) = 1
HCF of 3609, 3001, 72709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3609, 3001, 72709 is 1.
Highest Common Factor of 3609,3001,72709 is 1
Step 1: Since 3609 > 3001, we apply the division lemma to 3609 and 3001, to get
3609 = 3001 x 1 + 608
Step 2: Since the reminder 3001 ≠ 0, we apply division lemma to 608 and 3001, to get
3001 = 608 x 4 + 569
Step 3: We consider the new divisor 608 and the new remainder 569, and apply the division lemma to get
608 = 569 x 1 + 39
We consider the new divisor 569 and the new remainder 39,and apply the division lemma to get
569 = 39 x 14 + 23
We consider the new divisor 39 and the new remainder 23,and apply the division lemma to get
39 = 23 x 1 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3609 and 3001 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(569,39) = HCF(608,569) = HCF(3001,608) = HCF(3609,3001) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72709 > 1, we apply the division lemma to 72709 and 1, to get
72709 = 1 x 72709 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72709 is 1
Notice that 1 = HCF(72709,1) .
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Frequently Asked Questions on HCF of 3609, 3001, 72709 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 3609, 3001, 72709?
Answer: HCF of 3609, 3001, 72709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3609, 3001, 72709 using Euclid's Algorithm?
Answer: For arbitrary numbers 3609, 3001, 72709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.