Highest Common Factor of 8832, 5783 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 8832, 5783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8832, 5783 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 8832, 5783 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 8832, 5783 is 1.

HCF(8832, 5783) = 1

HCF of 8832, 5783 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 8832, 5783 is 1.

Highest Common Factor of 8832,5783 using Euclid's algorithm

Highest Common Factor of 8832,5783 is 1

Step 1: Since 8832 > 5783, we apply the division lemma to 8832 and 5783, to get

8832 = 5783 x 1 + 3049

Step 2: Since the reminder 5783 ≠ 0, we apply division lemma to 3049 and 5783, to get

5783 = 3049 x 1 + 2734

Step 3: We consider the new divisor 3049 and the new remainder 2734, and apply the division lemma to get

3049 = 2734 x 1 + 315

We consider the new divisor 2734 and the new remainder 315,and apply the division lemma to get

2734 = 315 x 8 + 214

We consider the new divisor 315 and the new remainder 214,and apply the division lemma to get

315 = 214 x 1 + 101

We consider the new divisor 214 and the new remainder 101,and apply the division lemma to get

214 = 101 x 2 + 12

We consider the new divisor 101 and the new remainder 12,and apply the division lemma to get

101 = 12 x 8 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8832 and 5783 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(101,12) = HCF(214,101) = HCF(315,214) = HCF(2734,315) = HCF(3049,2734) = HCF(5783,3049) = HCF(8832,5783) .

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Frequently Asked Questions on HCF of 8832, 5783 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 8832, 5783?

Answer: HCF of 8832, 5783 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8832, 5783 using Euclid's Algorithm?

Answer: For arbitrary numbers 8832, 5783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.