Highest Common Factor of 5544, 8509 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 5544, 8509 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5544, 8509 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 5544, 8509 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 5544, 8509 is 1.

HCF(5544, 8509) = 1

HCF of 5544, 8509 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 5544, 8509 is 1.

Highest Common Factor of 5544,8509 using Euclid's algorithm

Highest Common Factor of 5544,8509 is 1

Step 1: Since 8509 > 5544, we apply the division lemma to 8509 and 5544, to get

8509 = 5544 x 1 + 2965

Step 2: Since the reminder 5544 ≠ 0, we apply division lemma to 2965 and 5544, to get

5544 = 2965 x 1 + 2579

Step 3: We consider the new divisor 2965 and the new remainder 2579, and apply the division lemma to get

2965 = 2579 x 1 + 386

We consider the new divisor 2579 and the new remainder 386,and apply the division lemma to get

2579 = 386 x 6 + 263

We consider the new divisor 386 and the new remainder 263,and apply the division lemma to get

386 = 263 x 1 + 123

We consider the new divisor 263 and the new remainder 123,and apply the division lemma to get

263 = 123 x 2 + 17

We consider the new divisor 123 and the new remainder 17,and apply the division lemma to get

123 = 17 x 7 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5544 and 8509 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(123,17) = HCF(263,123) = HCF(386,263) = HCF(2579,386) = HCF(2965,2579) = HCF(5544,2965) = HCF(8509,5544) .

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Frequently Asked Questions on HCF of 5544, 8509 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 5544, 8509?

Answer: HCF of 5544, 8509 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5544, 8509 using Euclid's Algorithm?

Answer: For arbitrary numbers 5544, 8509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.