Highest Common Factor of 3895, 5533 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 3895, 5533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3895, 5533 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 3895, 5533 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 3895, 5533 is 1.

HCF(3895, 5533) = 1

HCF of 3895, 5533 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3895, 5533 is 1.

Highest Common Factor of 3895,5533 using Euclid's algorithm

Highest Common Factor of 3895,5533 is 1

Step 1: Since 5533 > 3895, we apply the division lemma to 5533 and 3895, to get

5533 = 3895 x 1 + 1638

Step 2: Since the reminder 3895 ≠ 0, we apply division lemma to 1638 and 3895, to get

3895 = 1638 x 2 + 619

Step 3: We consider the new divisor 1638 and the new remainder 619, and apply the division lemma to get

1638 = 619 x 2 + 400

We consider the new divisor 619 and the new remainder 400,and apply the division lemma to get

619 = 400 x 1 + 219

We consider the new divisor 400 and the new remainder 219,and apply the division lemma to get

400 = 219 x 1 + 181

We consider the new divisor 219 and the new remainder 181,and apply the division lemma to get

219 = 181 x 1 + 38

We consider the new divisor 181 and the new remainder 38,and apply the division lemma to get

181 = 38 x 4 + 29

We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get

38 = 29 x 1 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 3895 and 5533 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(181,38) = HCF(219,181) = HCF(400,219) = HCF(619,400) = HCF(1638,619) = HCF(3895,1638) = HCF(5533,3895) .

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Frequently Asked Questions on HCF of 3895, 5533 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 3895, 5533?

Answer: HCF of 3895, 5533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3895, 5533 using Euclid's Algorithm?

Answer: For arbitrary numbers 3895, 5533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.