Highest Common Factor of 819, 351, 171 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, 351, 171 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 351, 171 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, 351, 171 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, 351, 171 is 9.
HCF(819, 351, 171) = 9
HCF of 819, 351, 171 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, 351, 171 is 9.
Highest Common Factor of 819,351,171 is 9
Step 1: Since 819 > 351, we apply the division lemma to 819 and 351, to get
819 = 351 x 2 + 117
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 117 and 351, to get
351 = 117 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 117, the HCF of 819 and 351 is 117
Notice that 117 = HCF(351,117) = HCF(819,351) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 117, we apply the division lemma to 171 and 117, to get
171 = 117 x 1 + 54
Step 2: Since the reminder 117 ≠ 0, we apply division lemma to 54 and 117, to get
117 = 54 x 2 + 9
Step 3: We consider the new divisor 54 and the new remainder 9, and apply the division lemma to get
54 = 9 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 117 and 171 is 9
Notice that 9 = HCF(54,9) = HCF(117,54) = HCF(171,117) .
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Frequently Asked Questions on HCF of 819, 351, 171 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, 351, 171?
Answer: HCF of 819, 351, 171 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 351, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 351, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.