Highest Common Factor of 812, 494, 39 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 812, 494, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 812, 494, 39 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 812, 494, 39 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 812, 494, 39 is 1.

HCF(812, 494, 39) = 1

HCF of 812, 494, 39 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 812, 494, 39 is 1.

Highest Common Factor of 812,494,39 using Euclid's algorithm

Highest Common Factor of 812,494,39 is 1

Step 1: Since 812 > 494, we apply the division lemma to 812 and 494, to get

812 = 494 x 1 + 318

Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 318 and 494, to get

494 = 318 x 1 + 176

Step 3: We consider the new divisor 318 and the new remainder 176, and apply the division lemma to get

318 = 176 x 1 + 142

We consider the new divisor 176 and the new remainder 142,and apply the division lemma to get

176 = 142 x 1 + 34

We consider the new divisor 142 and the new remainder 34,and apply the division lemma to get

142 = 34 x 4 + 6

We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get

34 = 6 x 5 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 812 and 494 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(142,34) = HCF(176,142) = HCF(318,176) = HCF(494,318) = HCF(812,494) .

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

Step 1: Since 39 > 2, we apply the division lemma to 39 and 2, to get

39 = 2 x 19 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 39 is 1

Notice that 1 = HCF(2,1) = HCF(39,2) .

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Frequently Asked Questions on HCF of 812, 494, 39 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 812, 494, 39?

Answer: HCF of 812, 494, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 812, 494, 39 using Euclid's Algorithm?

Answer: For arbitrary numbers 812, 494, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.