Highest Common Factor of 5739, 3609 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 5739, 3609 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5739, 3609 is 3 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 5739, 3609 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 5739, 3609 is 3.
HCF(5739, 3609) = 3
HCF of 5739, 3609 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5739, 3609 is 3.
Highest Common Factor of 5739,3609 is 3
Step 1: Since 5739 > 3609, we apply the division lemma to 5739 and 3609, to get
5739 = 3609 x 1 + 2130
Step 2: Since the reminder 3609 ≠ 0, we apply division lemma to 2130 and 3609, to get
3609 = 2130 x 1 + 1479
Step 3: We consider the new divisor 2130 and the new remainder 1479, and apply the division lemma to get
2130 = 1479 x 1 + 651
We consider the new divisor 1479 and the new remainder 651,and apply the division lemma to get
1479 = 651 x 2 + 177
We consider the new divisor 651 and the new remainder 177,and apply the division lemma to get
651 = 177 x 3 + 120
We consider the new divisor 177 and the new remainder 120,and apply the division lemma to get
177 = 120 x 1 + 57
We consider the new divisor 120 and the new remainder 57,and apply the division lemma to get
120 = 57 x 2 + 6
We consider the new divisor 57 and the new remainder 6,and apply the division lemma to get
57 = 6 x 9 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5739 and 3609 is 3
Notice that 3 = HCF(6,3) = HCF(57,6) = HCF(120,57) = HCF(177,120) = HCF(651,177) = HCF(1479,651) = HCF(2130,1479) = HCF(3609,2130) = HCF(5739,3609) .
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Frequently Asked Questions on HCF of 5739, 3609 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 5739, 3609?
Answer: HCF of 5739, 3609 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5739, 3609 using Euclid's Algorithm?
Answer: For arbitrary numbers 5739, 3609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.