Highest Common Factor of 81, 135, 247 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 81, 135, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 81, 135, 247 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 81, 135, 247 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 81, 135, 247 is 1.

HCF(81, 135, 247) = 1

HCF of 81, 135, 247 using Euclid's algorithm

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

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Highest common factor (HCF) of 81, 135, 247 is 1.

Highest Common Factor of 81,135,247 using Euclid's algorithm

Highest Common Factor of 81,135,247 is 1

Step 1: Since 135 > 81, we apply the division lemma to 135 and 81, to get

135 = 81 x 1 + 54

Step 2: Since the reminder 81 ≠ 0, we apply division lemma to 54 and 81, to get

81 = 54 x 1 + 27

Step 3: We consider the new divisor 54 and the new remainder 27, and apply the division lemma to get

54 = 27 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 81 and 135 is 27

Notice that 27 = HCF(54,27) = HCF(81,54) = HCF(135,81) .

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

Step 1: Since 247 > 27, we apply the division lemma to 247 and 27, to get

247 = 27 x 9 + 4

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 4 and 27, to get

27 = 4 x 6 + 3

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

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 27 and 247 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(247,27) .

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Frequently Asked Questions on HCF of 81, 135, 247 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 81, 135, 247?

Answer: HCF of 81, 135, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 81, 135, 247 using Euclid's Algorithm?

Answer: For arbitrary numbers 81, 135, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.