Highest Common Factor of 5605, 8793 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 5605, 8793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5605, 8793 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 5605, 8793 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 5605, 8793 is 1.

HCF(5605, 8793) = 1

HCF of 5605, 8793 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 5605, 8793 is 1.

Highest Common Factor of 5605,8793 using Euclid's algorithm

Highest Common Factor of 5605,8793 is 1

Step 1: Since 8793 > 5605, we apply the division lemma to 8793 and 5605, to get

8793 = 5605 x 1 + 3188

Step 2: Since the reminder 5605 ≠ 0, we apply division lemma to 3188 and 5605, to get

5605 = 3188 x 1 + 2417

Step 3: We consider the new divisor 3188 and the new remainder 2417, and apply the division lemma to get

3188 = 2417 x 1 + 771

We consider the new divisor 2417 and the new remainder 771,and apply the division lemma to get

2417 = 771 x 3 + 104

We consider the new divisor 771 and the new remainder 104,and apply the division lemma to get

771 = 104 x 7 + 43

We consider the new divisor 104 and the new remainder 43,and apply the division lemma to get

104 = 43 x 2 + 18

We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get

43 = 18 x 2 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5605 and 8793 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(104,43) = HCF(771,104) = HCF(2417,771) = HCF(3188,2417) = HCF(5605,3188) = HCF(8793,5605) .

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Frequently Asked Questions on HCF of 5605, 8793 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 5605, 8793?

Answer: HCF of 5605, 8793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5605, 8793 using Euclid's Algorithm?

Answer: For arbitrary numbers 5605, 8793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.