Highest Common Factor of 388, 716, 27 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 388, 716, 27 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 388, 716, 27 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 388, 716, 27 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 388, 716, 27 is 1.

HCF(388, 716, 27) = 1

HCF of 388, 716, 27 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 388, 716, 27 is 1.

Highest Common Factor of 388,716,27 using Euclid's algorithm

Highest Common Factor of 388,716,27 is 1

Step 1: Since 716 > 388, we apply the division lemma to 716 and 388, to get

716 = 388 x 1 + 328

Step 2: Since the reminder 388 ≠ 0, we apply division lemma to 328 and 388, to get

388 = 328 x 1 + 60

Step 3: We consider the new divisor 328 and the new remainder 60, and apply the division lemma to get

328 = 60 x 5 + 28

We consider the new divisor 60 and the new remainder 28,and apply the division lemma to get

60 = 28 x 2 + 4

We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get

28 = 4 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 388 and 716 is 4

Notice that 4 = HCF(28,4) = HCF(60,28) = HCF(328,60) = HCF(388,328) = HCF(716,388) .

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

Step 1: Since 27 > 4, we apply the division lemma to 27 and 4, to get

27 = 4 x 6 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 27 is 1

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

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Frequently Asked Questions on HCF of 388, 716, 27 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 388, 716, 27?

Answer: HCF of 388, 716, 27 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 388, 716, 27 using Euclid's Algorithm?

Answer: For arbitrary numbers 388, 716, 27 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.