Highest Common Factor of 831, 608, 339 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 831, 608, 339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 831, 608, 339 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 831, 608, 339 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 831, 608, 339 is 1.

HCF(831, 608, 339) = 1

HCF of 831, 608, 339 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 831, 608, 339 is 1.

Highest Common Factor of 831,608,339 using Euclid's algorithm

Highest Common Factor of 831,608,339 is 1

Step 1: Since 831 > 608, we apply the division lemma to 831 and 608, to get

831 = 608 x 1 + 223

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 223 and 608, to get

608 = 223 x 2 + 162

Step 3: We consider the new divisor 223 and the new remainder 162, and apply the division lemma to get

223 = 162 x 1 + 61

We consider the new divisor 162 and the new remainder 61,and apply the division lemma to get

162 = 61 x 2 + 40

We consider the new divisor 61 and the new remainder 40,and apply the division lemma to get

61 = 40 x 1 + 21

We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get

40 = 21 x 1 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 831 and 608 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(61,40) = HCF(162,61) = HCF(223,162) = HCF(608,223) = HCF(831,608) .

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

Step 1: Since 339 > 1, we apply the division lemma to 339 and 1, to get

339 = 1 x 339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 339 is 1

Notice that 1 = HCF(339,1) .

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Frequently Asked Questions on HCF of 831, 608, 339 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 831, 608, 339?

Answer: HCF of 831, 608, 339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 831, 608, 339 using Euclid's Algorithm?

Answer: For arbitrary numbers 831, 608, 339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.