Highest Common Factor of 8192, 2869 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 8192, 2869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8192, 2869 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 8192, 2869 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 8192, 2869 is 1.

HCF(8192, 2869) = 1

HCF of 8192, 2869 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 8192, 2869 is 1.

Highest Common Factor of 8192,2869 using Euclid's algorithm

Highest Common Factor of 8192,2869 is 1

Step 1: Since 8192 > 2869, we apply the division lemma to 8192 and 2869, to get

8192 = 2869 x 2 + 2454

Step 2: Since the reminder 2869 ≠ 0, we apply division lemma to 2454 and 2869, to get

2869 = 2454 x 1 + 415

Step 3: We consider the new divisor 2454 and the new remainder 415, and apply the division lemma to get

2454 = 415 x 5 + 379

We consider the new divisor 415 and the new remainder 379,and apply the division lemma to get

415 = 379 x 1 + 36

We consider the new divisor 379 and the new remainder 36,and apply the division lemma to get

379 = 36 x 10 + 19

We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get

36 = 19 x 1 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 8192 and 2869 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(379,36) = HCF(415,379) = HCF(2454,415) = HCF(2869,2454) = HCF(8192,2869) .

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Frequently Asked Questions on HCF of 8192, 2869 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 8192, 2869?

Answer: HCF of 8192, 2869 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8192, 2869 using Euclid's Algorithm?

Answer: For arbitrary numbers 8192, 2869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.