Highest Common Factor of 9583, 4036, 14894 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 9583, 4036, 14894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9583, 4036, 14894 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 9583, 4036, 14894 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 9583, 4036, 14894 is 1.
HCF(9583, 4036, 14894) = 1
HCF of 9583, 4036, 14894 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9583, 4036, 14894 is 1.
Highest Common Factor of 9583,4036,14894 is 1
Step 1: Since 9583 > 4036, we apply the division lemma to 9583 and 4036, to get
9583 = 4036 x 2 + 1511
Step 2: Since the reminder 4036 ≠ 0, we apply division lemma to 1511 and 4036, to get
4036 = 1511 x 2 + 1014
Step 3: We consider the new divisor 1511 and the new remainder 1014, and apply the division lemma to get
1511 = 1014 x 1 + 497
We consider the new divisor 1014 and the new remainder 497,and apply the division lemma to get
1014 = 497 x 2 + 20
We consider the new divisor 497 and the new remainder 20,and apply the division lemma to get
497 = 20 x 24 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 9583 and 4036 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(497,20) = HCF(1014,497) = HCF(1511,1014) = HCF(4036,1511) = HCF(9583,4036) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14894 > 1, we apply the division lemma to 14894 and 1, to get
14894 = 1 x 14894 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14894 is 1
Notice that 1 = HCF(14894,1) .
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Frequently Asked Questions on HCF of 9583, 4036, 14894 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 9583, 4036, 14894?
Answer: HCF of 9583, 4036, 14894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9583, 4036, 14894 using Euclid's Algorithm?
Answer: For arbitrary numbers 9583, 4036, 14894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.