Highest Common Factor of 5524, 3071, 15611 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 5524, 3071, 15611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5524, 3071, 15611 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 5524, 3071, 15611 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 5524, 3071, 15611 is 1.

HCF(5524, 3071, 15611) = 1

HCF of 5524, 3071, 15611 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 5524, 3071, 15611 is 1.

Highest Common Factor of 5524,3071,15611 using Euclid's algorithm

Highest Common Factor of 5524,3071,15611 is 1

Step 1: Since 5524 > 3071, we apply the division lemma to 5524 and 3071, to get

5524 = 3071 x 1 + 2453

Step 2: Since the reminder 3071 ≠ 0, we apply division lemma to 2453 and 3071, to get

3071 = 2453 x 1 + 618

Step 3: We consider the new divisor 2453 and the new remainder 618, and apply the division lemma to get

2453 = 618 x 3 + 599

We consider the new divisor 618 and the new remainder 599,and apply the division lemma to get

618 = 599 x 1 + 19

We consider the new divisor 599 and the new remainder 19,and apply the division lemma to get

599 = 19 x 31 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5524 and 3071 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(599,19) = HCF(618,599) = HCF(2453,618) = HCF(3071,2453) = HCF(5524,3071) .

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

Step 1: Since 15611 > 1, we apply the division lemma to 15611 and 1, to get

15611 = 1 x 15611 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15611 is 1

Notice that 1 = HCF(15611,1) .

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Frequently Asked Questions on HCF of 5524, 3071, 15611 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 5524, 3071, 15611?

Answer: HCF of 5524, 3071, 15611 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5524, 3071, 15611 using Euclid's Algorithm?

Answer: For arbitrary numbers 5524, 3071, 15611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.