Highest Common Factor of 654, 393, 471 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 654, 393, 471 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 654, 393, 471 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 654, 393, 471 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 654, 393, 471 is 3.
HCF(654, 393, 471) = 3
HCF of 654, 393, 471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 654, 393, 471 is 3.
Highest Common Factor of 654,393,471 is 3
Step 1: Since 654 > 393, we apply the division lemma to 654 and 393, to get
654 = 393 x 1 + 261
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 261 and 393, to get
393 = 261 x 1 + 132
Step 3: We consider the new divisor 261 and the new remainder 132, and apply the division lemma to get
261 = 132 x 1 + 129
We consider the new divisor 132 and the new remainder 129,and apply the division lemma to get
132 = 129 x 1 + 3
We consider the new divisor 129 and the new remainder 3,and apply the division lemma to get
129 = 3 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 654 and 393 is 3
Notice that 3 = HCF(129,3) = HCF(132,129) = HCF(261,132) = HCF(393,261) = HCF(654,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 471 > 3, we apply the division lemma to 471 and 3, to get
471 = 3 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 471 is 3
Notice that 3 = HCF(471,3) .
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Frequently Asked Questions on HCF of 654, 393, 471 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 654, 393, 471?
Answer: HCF of 654, 393, 471 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 654, 393, 471 using Euclid's Algorithm?
Answer: For arbitrary numbers 654, 393, 471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
