Highest Common Factor of 1019, 9326, 26128 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 1019, 9326, 26128 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1019, 9326, 26128 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 1019, 9326, 26128 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 1019, 9326, 26128 is 1.

HCF(1019, 9326, 26128) = 1

HCF of 1019, 9326, 26128 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 1019, 9326, 26128 is 1.

Highest Common Factor of 1019,9326,26128 using Euclid's algorithm

Highest Common Factor of 1019,9326,26128 is 1

Step 1: Since 9326 > 1019, we apply the division lemma to 9326 and 1019, to get

9326 = 1019 x 9 + 155

Step 2: Since the reminder 1019 ≠ 0, we apply division lemma to 155 and 1019, to get

1019 = 155 x 6 + 89

Step 3: We consider the new divisor 155 and the new remainder 89, and apply the division lemma to get

155 = 89 x 1 + 66

We consider the new divisor 89 and the new remainder 66,and apply the division lemma to get

89 = 66 x 1 + 23

We consider the new divisor 66 and the new remainder 23,and apply the division lemma to get

66 = 23 x 2 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 1019 and 9326 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(66,23) = HCF(89,66) = HCF(155,89) = HCF(1019,155) = HCF(9326,1019) .

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

Step 1: Since 26128 > 1, we apply the division lemma to 26128 and 1, to get

26128 = 1 x 26128 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26128 is 1

Notice that 1 = HCF(26128,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1019, 9326, 26128 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 1019, 9326, 26128?

Answer: HCF of 1019, 9326, 26128 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1019, 9326, 26128 using Euclid's Algorithm?

Answer: For arbitrary numbers 1019, 9326, 26128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.