Highest Common Factor of 605, 330, 396 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 605, 330, 396 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 605, 330, 396 is 11 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 605, 330, 396 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 605, 330, 396 is 11.
HCF(605, 330, 396) = 11
HCF of 605, 330, 396 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 605, 330, 396 is 11.
Highest Common Factor of 605,330,396 is 11
Step 1: Since 605 > 330, we apply the division lemma to 605 and 330, to get
605 = 330 x 1 + 275
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 275 and 330, to get
330 = 275 x 1 + 55
Step 3: We consider the new divisor 275 and the new remainder 55, and apply the division lemma to get
275 = 55 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 605 and 330 is 55
Notice that 55 = HCF(275,55) = HCF(330,275) = HCF(605,330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 396 > 55, we apply the division lemma to 396 and 55, to get
396 = 55 x 7 + 11
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 11 and 55, to get
55 = 11 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 55 and 396 is 11
Notice that 11 = HCF(55,11) = HCF(396,55) .
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Frequently Asked Questions on HCF of 605, 330, 396 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 605, 330, 396?
Answer: HCF of 605, 330, 396 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 605, 330, 396 using Euclid's Algorithm?
Answer: For arbitrary numbers 605, 330, 396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.