Highest Common Factor of 8192, 4828 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, 4828 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 8192, 4828 is 4 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, 4828 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, 4828 is 4.

HCF(8192, 4828) = 4

HCF of 8192, 4828 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8192, 4828 is 4.

Highest Common Factor of 8192,4828 using Euclid's algorithm

Highest Common Factor of 8192,4828 is 4

Step 1: Since 8192 > 4828, we apply the division lemma to 8192 and 4828, to get

8192 = 4828 x 1 + 3364

Step 2: Since the reminder 4828 ≠ 0, we apply division lemma to 3364 and 4828, to get

4828 = 3364 x 1 + 1464

Step 3: We consider the new divisor 3364 and the new remainder 1464, and apply the division lemma to get

3364 = 1464 x 2 + 436

We consider the new divisor 1464 and the new remainder 436,and apply the division lemma to get

1464 = 436 x 3 + 156

We consider the new divisor 436 and the new remainder 156,and apply the division lemma to get

436 = 156 x 2 + 124

We consider the new divisor 156 and the new remainder 124,and apply the division lemma to get

156 = 124 x 1 + 32

We consider the new divisor 124 and the new remainder 32,and apply the division lemma to get

124 = 32 x 3 + 28

We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get

32 = 28 x 1 + 4

We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get

28 = 4 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8192 and 4828 is 4

Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(124,32) = HCF(156,124) = HCF(436,156) = HCF(1464,436) = HCF(3364,1464) = HCF(4828,3364) = HCF(8192,4828) .

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Frequently Asked Questions on HCF of 8192, 4828 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, 4828?

Answer: HCF of 8192, 4828 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8192, 4828 using Euclid's Algorithm?

Answer: For arbitrary numbers 8192, 4828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.