Highest Common Factor of 788, 605, 823 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 788, 605, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 788, 605, 823 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 788, 605, 823 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 788, 605, 823 is 1.

HCF(788, 605, 823) = 1

HCF of 788, 605, 823 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 788, 605, 823 is 1.

Highest Common Factor of 788,605,823 using Euclid's algorithm

Highest Common Factor of 788,605,823 is 1

Step 1: Since 788 > 605, we apply the division lemma to 788 and 605, to get

788 = 605 x 1 + 183

Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 183 and 605, to get

605 = 183 x 3 + 56

Step 3: We consider the new divisor 183 and the new remainder 56, and apply the division lemma to get

183 = 56 x 3 + 15

We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get

56 = 15 x 3 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 788 and 605 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(183,56) = HCF(605,183) = HCF(788,605) .

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

Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get

823 = 1 x 823 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1

Notice that 1 = HCF(823,1) .

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Frequently Asked Questions on HCF of 788, 605, 823 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 788, 605, 823?

Answer: HCF of 788, 605, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 788, 605, 823 using Euclid's Algorithm?

Answer: For arbitrary numbers 788, 605, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.