Highest Common Factor of 489, 396, 207 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 489, 396, 207 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 489, 396, 207 is 3 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 489, 396, 207 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 489, 396, 207 is 3.
HCF(489, 396, 207) = 3
HCF of 489, 396, 207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 489, 396, 207 is 3.
Highest Common Factor of 489,396,207 is 3
Step 1: Since 489 > 396, we apply the division lemma to 489 and 396, to get
489 = 396 x 1 + 93
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 93 and 396, to get
396 = 93 x 4 + 24
Step 3: We consider the new divisor 93 and the new remainder 24, and apply the division lemma to get
93 = 24 x 3 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 489 and 396 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(93,24) = HCF(396,93) = HCF(489,396) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 207 > 3, we apply the division lemma to 207 and 3, to get
207 = 3 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 207 is 3
Notice that 3 = HCF(207,3) .
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Frequently Asked Questions on HCF of 489, 396, 207 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 489, 396, 207?
Answer: HCF of 489, 396, 207 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 489, 396, 207 using Euclid's Algorithm?
Answer: For arbitrary numbers 489, 396, 207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.