Highest Common Factor of 1433, 5059, 32767 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 1433, 5059, 32767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1433, 5059, 32767 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 1433, 5059, 32767 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 1433, 5059, 32767 is 1.

HCF(1433, 5059, 32767) = 1

HCF of 1433, 5059, 32767 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 1433, 5059, 32767 is 1.

Highest Common Factor of 1433,5059,32767 using Euclid's algorithm

Highest Common Factor of 1433,5059,32767 is 1

Step 1: Since 5059 > 1433, we apply the division lemma to 5059 and 1433, to get

5059 = 1433 x 3 + 760

Step 2: Since the reminder 1433 ≠ 0, we apply division lemma to 760 and 1433, to get

1433 = 760 x 1 + 673

Step 3: We consider the new divisor 760 and the new remainder 673, and apply the division lemma to get

760 = 673 x 1 + 87

We consider the new divisor 673 and the new remainder 87,and apply the division lemma to get

673 = 87 x 7 + 64

We consider the new divisor 87 and the new remainder 64,and apply the division lemma to get

87 = 64 x 1 + 23

We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get

64 = 23 x 2 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 1433 and 5059 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(87,64) = HCF(673,87) = HCF(760,673) = HCF(1433,760) = HCF(5059,1433) .

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

Step 1: Since 32767 > 1, we apply the division lemma to 32767 and 1, to get

32767 = 1 x 32767 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32767 is 1

Notice that 1 = HCF(32767,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1433, 5059, 32767 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 1433, 5059, 32767?

Answer: HCF of 1433, 5059, 32767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1433, 5059, 32767 using Euclid's Algorithm?

Answer: For arbitrary numbers 1433, 5059, 32767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.