Highest Common Factor of 9032, 1594, 13140 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 9032, 1594, 13140 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9032, 1594, 13140 is 2 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 9032, 1594, 13140 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 9032, 1594, 13140 is 2.
HCF(9032, 1594, 13140) = 2
HCF of 9032, 1594, 13140 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9032, 1594, 13140 is 2.
Highest Common Factor of 9032,1594,13140 is 2
Step 1: Since 9032 > 1594, we apply the division lemma to 9032 and 1594, to get
9032 = 1594 x 5 + 1062
Step 2: Since the reminder 1594 ≠ 0, we apply division lemma to 1062 and 1594, to get
1594 = 1062 x 1 + 532
Step 3: We consider the new divisor 1062 and the new remainder 532, and apply the division lemma to get
1062 = 532 x 1 + 530
We consider the new divisor 532 and the new remainder 530,and apply the division lemma to get
532 = 530 x 1 + 2
We consider the new divisor 530 and the new remainder 2,and apply the division lemma to get
530 = 2 x 265 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9032 and 1594 is 2
Notice that 2 = HCF(530,2) = HCF(532,530) = HCF(1062,532) = HCF(1594,1062) = HCF(9032,1594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13140 > 2, we apply the division lemma to 13140 and 2, to get
13140 = 2 x 6570 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 13140 is 2
Notice that 2 = HCF(13140,2) .
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Frequently Asked Questions on HCF of 9032, 1594, 13140 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 9032, 1594, 13140?
Answer: HCF of 9032, 1594, 13140 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9032, 1594, 13140 using Euclid's Algorithm?
Answer: For arbitrary numbers 9032, 1594, 13140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.