Highest Common Factor of 366, 579, 711 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 366, 579, 711 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 579, 711 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 366, 579, 711 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 366, 579, 711 is 3.
HCF(366, 579, 711) = 3
HCF of 366, 579, 711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 366, 579, 711 is 3.
Highest Common Factor of 366,579,711 is 3
Step 1: Since 579 > 366, we apply the division lemma to 579 and 366, to get
579 = 366 x 1 + 213
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 213 and 366, to get
366 = 213 x 1 + 153
Step 3: We consider the new divisor 213 and the new remainder 153, and apply the division lemma to get
213 = 153 x 1 + 60
We consider the new divisor 153 and the new remainder 60,and apply the division lemma to get
153 = 60 x 2 + 33
We consider the new divisor 60 and the new remainder 33,and apply the division lemma to get
60 = 33 x 1 + 27
We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get
33 = 27 x 1 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 366 and 579 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(60,33) = HCF(153,60) = HCF(213,153) = HCF(366,213) = HCF(579,366) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 711 > 3, we apply the division lemma to 711 and 3, to get
711 = 3 x 237 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 711 is 3
Notice that 3 = HCF(711,3) .
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Frequently Asked Questions on HCF of 366, 579, 711 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 366, 579, 711?
Answer: HCF of 366, 579, 711 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 579, 711 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 579, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.