Highest Common Factor of 399, 543 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 399, 543 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 399, 543 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 399, 543 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 399, 543 is 3.
HCF(399, 543) = 3
HCF of 399, 543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 399, 543 is 3.
Highest Common Factor of 399,543 is 3
Step 1: Since 543 > 399, we apply the division lemma to 543 and 399, to get
543 = 399 x 1 + 144
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 144 and 399, to get
399 = 144 x 2 + 111
Step 3: We consider the new divisor 144 and the new remainder 111, and apply the division lemma to get
144 = 111 x 1 + 33
We consider the new divisor 111 and the new remainder 33,and apply the division lemma to get
111 = 33 x 3 + 12
We consider the new divisor 33 and the new remainder 12,and apply the division lemma to get
33 = 12 x 2 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 399 and 543 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(33,12) = HCF(111,33) = HCF(144,111) = HCF(399,144) = HCF(543,399) .
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Frequently Asked Questions on HCF of 399, 543 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 399, 543?
Answer: HCF of 399, 543 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 399, 543 using Euclid's Algorithm?
Answer: For arbitrary numbers 399, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.