Highest Common Factor of 8549, 7046, 12856 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 8549, 7046, 12856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8549, 7046, 12856 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 8549, 7046, 12856 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 8549, 7046, 12856 is 1.

HCF(8549, 7046, 12856) = 1

HCF of 8549, 7046, 12856 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 8549, 7046, 12856 is 1.

Highest Common Factor of 8549,7046,12856 using Euclid's algorithm

Highest Common Factor of 8549,7046,12856 is 1

Step 1: Since 8549 > 7046, we apply the division lemma to 8549 and 7046, to get

8549 = 7046 x 1 + 1503

Step 2: Since the reminder 7046 ≠ 0, we apply division lemma to 1503 and 7046, to get

7046 = 1503 x 4 + 1034

Step 3: We consider the new divisor 1503 and the new remainder 1034, and apply the division lemma to get

1503 = 1034 x 1 + 469

We consider the new divisor 1034 and the new remainder 469,and apply the division lemma to get

1034 = 469 x 2 + 96

We consider the new divisor 469 and the new remainder 96,and apply the division lemma to get

469 = 96 x 4 + 85

We consider the new divisor 96 and the new remainder 85,and apply the division lemma to get

96 = 85 x 1 + 11

We consider the new divisor 85 and the new remainder 11,and apply the division lemma to get

85 = 11 x 7 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8549 and 7046 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(85,11) = HCF(96,85) = HCF(469,96) = HCF(1034,469) = HCF(1503,1034) = HCF(7046,1503) = HCF(8549,7046) .

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

Step 1: Since 12856 > 1, we apply the division lemma to 12856 and 1, to get

12856 = 1 x 12856 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12856 is 1

Notice that 1 = HCF(12856,1) .

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Frequently Asked Questions on HCF of 8549, 7046, 12856 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 8549, 7046, 12856?

Answer: HCF of 8549, 7046, 12856 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8549, 7046, 12856 using Euclid's Algorithm?

Answer: For arbitrary numbers 8549, 7046, 12856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.