Highest Common Factor of 3796, 5919, 15638 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 3796, 5919, 15638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3796, 5919, 15638 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 3796, 5919, 15638 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 3796, 5919, 15638 is 1.

HCF(3796, 5919, 15638) = 1

HCF of 3796, 5919, 15638 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 3796, 5919, 15638 is 1.

Highest Common Factor of 3796,5919,15638 using Euclid's algorithm

Highest Common Factor of 3796,5919,15638 is 1

Step 1: Since 5919 > 3796, we apply the division lemma to 5919 and 3796, to get

5919 = 3796 x 1 + 2123

Step 2: Since the reminder 3796 ≠ 0, we apply division lemma to 2123 and 3796, to get

3796 = 2123 x 1 + 1673

Step 3: We consider the new divisor 2123 and the new remainder 1673, and apply the division lemma to get

2123 = 1673 x 1 + 450

We consider the new divisor 1673 and the new remainder 450,and apply the division lemma to get

1673 = 450 x 3 + 323

We consider the new divisor 450 and the new remainder 323,and apply the division lemma to get

450 = 323 x 1 + 127

We consider the new divisor 323 and the new remainder 127,and apply the division lemma to get

323 = 127 x 2 + 69

We consider the new divisor 127 and the new remainder 69,and apply the division lemma to get

127 = 69 x 1 + 58

We consider the new divisor 69 and the new remainder 58,and apply the division lemma to get

69 = 58 x 1 + 11

We consider the new divisor 58 and the new remainder 11,and apply the division lemma to get

58 = 11 x 5 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3796 and 5919 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(58,11) = HCF(69,58) = HCF(127,69) = HCF(323,127) = HCF(450,323) = HCF(1673,450) = HCF(2123,1673) = HCF(3796,2123) = HCF(5919,3796) .

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

Step 1: Since 15638 > 1, we apply the division lemma to 15638 and 1, to get

15638 = 1 x 15638 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15638 is 1

Notice that 1 = HCF(15638,1) .

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Frequently Asked Questions on HCF of 3796, 5919, 15638 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 3796, 5919, 15638?

Answer: HCF of 3796, 5919, 15638 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3796, 5919, 15638 using Euclid's Algorithm?

Answer: For arbitrary numbers 3796, 5919, 15638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.