Highest Common Factor of 8589, 3736 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 8589, 3736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8589, 3736 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 8589, 3736 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 8589, 3736 is 1.
HCF(8589, 3736) = 1
HCF of 8589, 3736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8589, 3736 is 1.
Highest Common Factor of 8589,3736 is 1
Step 1: Since 8589 > 3736, we apply the division lemma to 8589 and 3736, to get
8589 = 3736 x 2 + 1117
Step 2: Since the reminder 3736 ≠ 0, we apply division lemma to 1117 and 3736, to get
3736 = 1117 x 3 + 385
Step 3: We consider the new divisor 1117 and the new remainder 385, and apply the division lemma to get
1117 = 385 x 2 + 347
We consider the new divisor 385 and the new remainder 347,and apply the division lemma to get
385 = 347 x 1 + 38
We consider the new divisor 347 and the new remainder 38,and apply the division lemma to get
347 = 38 x 9 + 5
We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get
38 = 5 x 7 + 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 8589 and 3736 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(347,38) = HCF(385,347) = HCF(1117,385) = HCF(3736,1117) = HCF(8589,3736) .
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Frequently Asked Questions on HCF of 8589, 3736 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 8589, 3736?
Answer: HCF of 8589, 3736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8589, 3736 using Euclid's Algorithm?
Answer: For arbitrary numbers 8589, 3736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.