Highest Common Factor of 588, 831, 395 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 588, 831, 395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 588, 831, 395 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 588, 831, 395 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 588, 831, 395 is 1.

HCF(588, 831, 395) = 1

HCF of 588, 831, 395 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 588, 831, 395 is 1.

Highest Common Factor of 588,831,395 using Euclid's algorithm

Highest Common Factor of 588,831,395 is 1

Step 1: Since 831 > 588, we apply the division lemma to 831 and 588, to get

831 = 588 x 1 + 243

Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 243 and 588, to get

588 = 243 x 2 + 102

Step 3: We consider the new divisor 243 and the new remainder 102, and apply the division lemma to get

243 = 102 x 2 + 39

We consider the new divisor 102 and the new remainder 39,and apply the division lemma to get

102 = 39 x 2 + 24

We consider the new divisor 39 and the new remainder 24,and apply the division lemma to get

39 = 24 x 1 + 15

We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get

24 = 15 x 1 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 588 and 831 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(39,24) = HCF(102,39) = HCF(243,102) = HCF(588,243) = HCF(831,588) .

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

Step 1: Since 395 > 3, we apply the division lemma to 395 and 3, to get

395 = 3 x 131 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 395 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(395,3) .

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Frequently Asked Questions on HCF of 588, 831, 395 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 588, 831, 395?

Answer: HCF of 588, 831, 395 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 588, 831, 395 using Euclid's Algorithm?

Answer: For arbitrary numbers 588, 831, 395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.