Highest Common Factor of 2601, 1595, 19182 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 2601, 1595, 19182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2601, 1595, 19182 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 2601, 1595, 19182 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 2601, 1595, 19182 is 1.

HCF(2601, 1595, 19182) = 1

HCF of 2601, 1595, 19182 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 2601, 1595, 19182 is 1.

Highest Common Factor of 2601,1595,19182 using Euclid's algorithm

Highest Common Factor of 2601,1595,19182 is 1

Step 1: Since 2601 > 1595, we apply the division lemma to 2601 and 1595, to get

2601 = 1595 x 1 + 1006

Step 2: Since the reminder 1595 ≠ 0, we apply division lemma to 1006 and 1595, to get

1595 = 1006 x 1 + 589

Step 3: We consider the new divisor 1006 and the new remainder 589, and apply the division lemma to get

1006 = 589 x 1 + 417

We consider the new divisor 589 and the new remainder 417,and apply the division lemma to get

589 = 417 x 1 + 172

We consider the new divisor 417 and the new remainder 172,and apply the division lemma to get

417 = 172 x 2 + 73

We consider the new divisor 172 and the new remainder 73,and apply the division lemma to get

172 = 73 x 2 + 26

We consider the new divisor 73 and the new remainder 26,and apply the division lemma to get

73 = 26 x 2 + 21

We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get

26 = 21 x 1 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2601 and 1595 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(73,26) = HCF(172,73) = HCF(417,172) = HCF(589,417) = HCF(1006,589) = HCF(1595,1006) = HCF(2601,1595) .

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

Step 1: Since 19182 > 1, we apply the division lemma to 19182 and 1, to get

19182 = 1 x 19182 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19182 is 1

Notice that 1 = HCF(19182,1) .

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Frequently Asked Questions on HCF of 2601, 1595, 19182 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 2601, 1595, 19182?

Answer: HCF of 2601, 1595, 19182 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2601, 1595, 19182 using Euclid's Algorithm?

Answer: For arbitrary numbers 2601, 1595, 19182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.