Highest Common Factor of 819, 486, 171, 189 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 819, 486, 171, 189 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 486, 171, 189 is 9 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 819, 486, 171, 189 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 819, 486, 171, 189 is 9.
HCF(819, 486, 171, 189) = 9
HCF of 819, 486, 171, 189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 486, 171, 189 is 9.
Highest Common Factor of 819,486,171,189 is 9
Step 1: Since 819 > 486, we apply the division lemma to 819 and 486, to get
819 = 486 x 1 + 333
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 333 and 486, to get
486 = 333 x 1 + 153
Step 3: We consider the new divisor 333 and the new remainder 153, and apply the division lemma to get
333 = 153 x 2 + 27
We consider the new divisor 153 and the new remainder 27,and apply the division lemma to get
153 = 27 x 5 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 819 and 486 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(153,27) = HCF(333,153) = HCF(486,333) = HCF(819,486) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 9, we apply the division lemma to 171 and 9, to get
171 = 9 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 171 is 9
Notice that 9 = HCF(171,9) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 189 > 9, we apply the division lemma to 189 and 9, to get
189 = 9 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 189 is 9
Notice that 9 = HCF(189,9) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 819, 486, 171, 189 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 819, 486, 171, 189?
Answer: HCF of 819, 486, 171, 189 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 486, 171, 189 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 486, 171, 189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
