Highest Common Factor of 1401, 9511 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 1401, 9511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1401, 9511 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 1401, 9511 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 1401, 9511 is 1.

HCF(1401, 9511) = 1

HCF of 1401, 9511 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 1401, 9511 is 1.

Highest Common Factor of 1401,9511 using Euclid's algorithm

Highest Common Factor of 1401,9511 is 1

Step 1: Since 9511 > 1401, we apply the division lemma to 9511 and 1401, to get

9511 = 1401 x 6 + 1105

Step 2: Since the reminder 1401 ≠ 0, we apply division lemma to 1105 and 1401, to get

1401 = 1105 x 1 + 296

Step 3: We consider the new divisor 1105 and the new remainder 296, and apply the division lemma to get

1105 = 296 x 3 + 217

We consider the new divisor 296 and the new remainder 217,and apply the division lemma to get

296 = 217 x 1 + 79

We consider the new divisor 217 and the new remainder 79,and apply the division lemma to get

217 = 79 x 2 + 59

We consider the new divisor 79 and the new remainder 59,and apply the division lemma to get

79 = 59 x 1 + 20

We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get

59 = 20 x 2 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1401 and 9511 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(79,59) = HCF(217,79) = HCF(296,217) = HCF(1105,296) = HCF(1401,1105) = HCF(9511,1401) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1401, 9511 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 1401, 9511?

Answer: HCF of 1401, 9511 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1401, 9511 using Euclid's Algorithm?

Answer: For arbitrary numbers 1401, 9511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.