Highest Common Factor of 306, 576, 531, 284 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 306, 576, 531, 284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 306, 576, 531, 284 is 1 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 306, 576, 531, 284 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 306, 576, 531, 284 is 1.

HCF(306, 576, 531, 284) = 1

HCF of 306, 576, 531, 284 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 306, 576, 531, 284 is 1.

Highest Common Factor of 306,576,531,284 using Euclid's algorithm

Highest Common Factor of 306,576,531,284 is 1

Step 1: Since 576 > 306, we apply the division lemma to 576 and 306, to get

576 = 306 x 1 + 270

Step 2: Since the reminder 306 ≠ 0, we apply division lemma to 270 and 306, to get

306 = 270 x 1 + 36

Step 3: We consider the new divisor 270 and the new remainder 36, and apply the division lemma to get

270 = 36 x 7 + 18

We consider the new divisor 36 and the new remainder 18, and apply the division lemma to get

36 = 18 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 306 and 576 is 18

Notice that 18 = HCF(36,18) = HCF(270,36) = HCF(306,270) = HCF(576,306) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 531 > 18, we apply the division lemma to 531 and 18, to get

531 = 18 x 29 + 9

Step 2: Since the reminder 18 ≠ 0, we apply division lemma to 9 and 18, to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 18 and 531 is 9

Notice that 9 = HCF(18,9) = HCF(531,18) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 284 > 9, we apply the division lemma to 284 and 9, to get

284 = 9 x 31 + 5

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get

9 = 5 x 1 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 284 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(284,9) .

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Frequently Asked Questions on HCF of 306, 576, 531, 284 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 306, 576, 531, 284?

Answer: HCF of 306, 576, 531, 284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 306, 576, 531, 284 using Euclid's Algorithm?

Answer: For arbitrary numbers 306, 576, 531, 284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.