Highest Common Factor of 382, 629, 887 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 382, 629, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 382, 629, 887 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 382, 629, 887 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 382, 629, 887 is 1.

HCF(382, 629, 887) = 1

HCF of 382, 629, 887 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 382, 629, 887 is 1.

Highest Common Factor of 382,629,887 using Euclid's algorithm

Highest Common Factor of 382,629,887 is 1

Step 1: Since 629 > 382, we apply the division lemma to 629 and 382, to get

629 = 382 x 1 + 247

Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 247 and 382, to get

382 = 247 x 1 + 135

Step 3: We consider the new divisor 247 and the new remainder 135, and apply the division lemma to get

247 = 135 x 1 + 112

We consider the new divisor 135 and the new remainder 112,and apply the division lemma to get

135 = 112 x 1 + 23

We consider the new divisor 112 and the new remainder 23,and apply the division lemma to get

112 = 23 x 4 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 382 and 629 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(112,23) = HCF(135,112) = HCF(247,135) = HCF(382,247) = HCF(629,382) .

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

Step 1: Since 887 > 1, we apply the division lemma to 887 and 1, to get

887 = 1 x 887 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 887 is 1

Notice that 1 = HCF(887,1) .

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Frequently Asked Questions on HCF of 382, 629, 887 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 382, 629, 887?

Answer: HCF of 382, 629, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 382, 629, 887 using Euclid's Algorithm?

Answer: For arbitrary numbers 382, 629, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.