Highest Common Factor of 8219, 4923, 76729 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 8219, 4923, 76729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8219, 4923, 76729 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 8219, 4923, 76729 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 8219, 4923, 76729 is 1.

HCF(8219, 4923, 76729) = 1

HCF of 8219, 4923, 76729 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 8219, 4923, 76729 is 1.

Highest Common Factor of 8219,4923,76729 using Euclid's algorithm

Highest Common Factor of 8219,4923,76729 is 1

Step 1: Since 8219 > 4923, we apply the division lemma to 8219 and 4923, to get

8219 = 4923 x 1 + 3296

Step 2: Since the reminder 4923 ≠ 0, we apply division lemma to 3296 and 4923, to get

4923 = 3296 x 1 + 1627

Step 3: We consider the new divisor 3296 and the new remainder 1627, and apply the division lemma to get

3296 = 1627 x 2 + 42

We consider the new divisor 1627 and the new remainder 42,and apply the division lemma to get

1627 = 42 x 38 + 31

We consider the new divisor 42 and the new remainder 31,and apply the division lemma to get

42 = 31 x 1 + 11

We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get

31 = 11 x 2 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 8219 and 4923 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(42,31) = HCF(1627,42) = HCF(3296,1627) = HCF(4923,3296) = HCF(8219,4923) .

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

Step 1: Since 76729 > 1, we apply the division lemma to 76729 and 1, to get

76729 = 1 x 76729 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76729 is 1

Notice that 1 = HCF(76729,1) .

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Frequently Asked Questions on HCF of 8219, 4923, 76729 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 8219, 4923, 76729?

Answer: HCF of 8219, 4923, 76729 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8219, 4923, 76729 using Euclid's Algorithm?

Answer: For arbitrary numbers 8219, 4923, 76729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.