Highest Common Factor of 8909, 5570 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 8909, 5570 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8909, 5570 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 8909, 5570 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 8909, 5570 is 1.

HCF(8909, 5570) = 1

HCF of 8909, 5570 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 8909, 5570 is 1.

Highest Common Factor of 8909,5570 using Euclid's algorithm

Highest Common Factor of 8909,5570 is 1

Step 1: Since 8909 > 5570, we apply the division lemma to 8909 and 5570, to get

8909 = 5570 x 1 + 3339

Step 2: Since the reminder 5570 ≠ 0, we apply division lemma to 3339 and 5570, to get

5570 = 3339 x 1 + 2231

Step 3: We consider the new divisor 3339 and the new remainder 2231, and apply the division lemma to get

3339 = 2231 x 1 + 1108

We consider the new divisor 2231 and the new remainder 1108,and apply the division lemma to get

2231 = 1108 x 2 + 15

We consider the new divisor 1108 and the new remainder 15,and apply the division lemma to get

1108 = 15 x 73 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 8909 and 5570 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(1108,15) = HCF(2231,1108) = HCF(3339,2231) = HCF(5570,3339) = HCF(8909,5570) .

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Frequently Asked Questions on HCF of 8909, 5570 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 8909, 5570?

Answer: HCF of 8909, 5570 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8909, 5570 using Euclid's Algorithm?

Answer: For arbitrary numbers 8909, 5570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.