Highest Common Factor of 5519, 6577, 16009 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 5519, 6577, 16009 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5519, 6577, 16009 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 5519, 6577, 16009 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 5519, 6577, 16009 is 1.

HCF(5519, 6577, 16009) = 1

HCF of 5519, 6577, 16009 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 5519, 6577, 16009 is 1.

Highest Common Factor of 5519,6577,16009 using Euclid's algorithm

Highest Common Factor of 5519,6577,16009 is 1

Step 1: Since 6577 > 5519, we apply the division lemma to 6577 and 5519, to get

6577 = 5519 x 1 + 1058

Step 2: Since the reminder 5519 ≠ 0, we apply division lemma to 1058 and 5519, to get

5519 = 1058 x 5 + 229

Step 3: We consider the new divisor 1058 and the new remainder 229, and apply the division lemma to get

1058 = 229 x 4 + 142

We consider the new divisor 229 and the new remainder 142,and apply the division lemma to get

229 = 142 x 1 + 87

We consider the new divisor 142 and the new remainder 87,and apply the division lemma to get

142 = 87 x 1 + 55

We consider the new divisor 87 and the new remainder 55,and apply the division lemma to get

87 = 55 x 1 + 32

We consider the new divisor 55 and the new remainder 32,and apply the division lemma to get

55 = 32 x 1 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 5519 and 6577 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(55,32) = HCF(87,55) = HCF(142,87) = HCF(229,142) = HCF(1058,229) = HCF(5519,1058) = HCF(6577,5519) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 16009 > 1, we apply the division lemma to 16009 and 1, to get

16009 = 1 x 16009 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16009 is 1

Notice that 1 = HCF(16009,1) .

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Frequently Asked Questions on HCF of 5519, 6577, 16009 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 5519, 6577, 16009?

Answer: HCF of 5519, 6577, 16009 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5519, 6577, 16009 using Euclid's Algorithm?

Answer: For arbitrary numbers 5519, 6577, 16009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.