Highest Common Factor of 393, 5754 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 393, 5754 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 5754 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 393, 5754 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 393, 5754 is 3.
HCF(393, 5754) = 3
HCF of 393, 5754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 5754 is 3.
Highest Common Factor of 393,5754 is 3
Step 1: Since 5754 > 393, we apply the division lemma to 5754 and 393, to get
5754 = 393 x 14 + 252
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 252 and 393, to get
393 = 252 x 1 + 141
Step 3: We consider the new divisor 252 and the new remainder 141, and apply the division lemma to get
252 = 141 x 1 + 111
We consider the new divisor 141 and the new remainder 111,and apply the division lemma to get
141 = 111 x 1 + 30
We consider the new divisor 111 and the new remainder 30,and apply the division lemma to get
111 = 30 x 3 + 21
We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get
30 = 21 x 1 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 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 393 and 5754 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(111,30) = HCF(141,111) = HCF(252,141) = HCF(393,252) = HCF(5754,393) .
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Frequently Asked Questions on HCF of 393, 5754 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 393, 5754?
Answer: HCF of 393, 5754 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 5754 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 5754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.