Highest Common Factor of 1035, 1583, 16632 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 1035, 1583, 16632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1035, 1583, 16632 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 1035, 1583, 16632 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 1035, 1583, 16632 is 1.
HCF(1035, 1583, 16632) = 1
HCF of 1035, 1583, 16632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1035, 1583, 16632 is 1.
Highest Common Factor of 1035,1583,16632 is 1
Step 1: Since 1583 > 1035, we apply the division lemma to 1583 and 1035, to get
1583 = 1035 x 1 + 548
Step 2: Since the reminder 1035 ≠ 0, we apply division lemma to 548 and 1035, to get
1035 = 548 x 1 + 487
Step 3: We consider the new divisor 548 and the new remainder 487, and apply the division lemma to get
548 = 487 x 1 + 61
We consider the new divisor 487 and the new remainder 61,and apply the division lemma to get
487 = 61 x 7 + 60
We consider the new divisor 61 and the new remainder 60,and apply the division lemma to get
61 = 60 x 1 + 1
We consider the new divisor 60 and the new remainder 1,and apply the division lemma to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1035 and 1583 is 1
Notice that 1 = HCF(60,1) = HCF(61,60) = HCF(487,61) = HCF(548,487) = HCF(1035,548) = HCF(1583,1035) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16632 > 1, we apply the division lemma to 16632 and 1, to get
16632 = 1 x 16632 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16632 is 1
Notice that 1 = HCF(16632,1) .
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Frequently Asked Questions on HCF of 1035, 1583, 16632 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 1035, 1583, 16632?
Answer: HCF of 1035, 1583, 16632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1035, 1583, 16632 using Euclid's Algorithm?
Answer: For arbitrary numbers 1035, 1583, 16632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.