Highest Common Factor of 486, 9934, 9018 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 486, 9934, 9018 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 486, 9934, 9018 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 486, 9934, 9018 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 486, 9934, 9018 is 2.
HCF(486, 9934, 9018) = 2
HCF of 486, 9934, 9018 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 486, 9934, 9018 is 2.
Highest Common Factor of 486,9934,9018 is 2
Step 1: Since 9934 > 486, we apply the division lemma to 9934 and 486, to get
9934 = 486 x 20 + 214
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 214 and 486, to get
486 = 214 x 2 + 58
Step 3: We consider the new divisor 214 and the new remainder 58, and apply the division lemma to get
214 = 58 x 3 + 40
We consider the new divisor 58 and the new remainder 40,and apply the division lemma to get
58 = 40 x 1 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 486 and 9934 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(58,40) = HCF(214,58) = HCF(486,214) = HCF(9934,486) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9018 > 2, we apply the division lemma to 9018 and 2, to get
9018 = 2 x 4509 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 9018 is 2
Notice that 2 = HCF(9018,2) .
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Frequently Asked Questions on HCF of 486, 9934, 9018 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 486, 9934, 9018?
Answer: HCF of 486, 9934, 9018 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 486, 9934, 9018 using Euclid's Algorithm?
Answer: For arbitrary numbers 486, 9934, 9018 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
