Highest Common Factor of 1330, 9729, 87081 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 1330, 9729, 87081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1330, 9729, 87081 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 1330, 9729, 87081 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 1330, 9729, 87081 is 1.
HCF(1330, 9729, 87081) = 1
HCF of 1330, 9729, 87081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1330, 9729, 87081 is 1.
Highest Common Factor of 1330,9729,87081 is 1
Step 1: Since 9729 > 1330, we apply the division lemma to 9729 and 1330, to get
9729 = 1330 x 7 + 419
Step 2: Since the reminder 1330 ≠ 0, we apply division lemma to 419 and 1330, to get
1330 = 419 x 3 + 73
Step 3: We consider the new divisor 419 and the new remainder 73, and apply the division lemma to get
419 = 73 x 5 + 54
We consider the new divisor 73 and the new remainder 54,and apply the division lemma to get
73 = 54 x 1 + 19
We consider the new divisor 54 and the new remainder 19,and apply the division lemma to get
54 = 19 x 2 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1330 and 9729 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(54,19) = HCF(73,54) = HCF(419,73) = HCF(1330,419) = HCF(9729,1330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87081 > 1, we apply the division lemma to 87081 and 1, to get
87081 = 1 x 87081 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87081 is 1
Notice that 1 = HCF(87081,1) .
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Frequently Asked Questions on HCF of 1330, 9729, 87081 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 1330, 9729, 87081?
Answer: HCF of 1330, 9729, 87081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1330, 9729, 87081 using Euclid's Algorithm?
Answer: For arbitrary numbers 1330, 9729, 87081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.