Highest Common Factor of 1627, 1185 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 1627, 1185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1627, 1185 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 1627, 1185 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 1627, 1185 is 1.

HCF(1627, 1185) = 1

HCF of 1627, 1185 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 1627, 1185 is 1.

Highest Common Factor of 1627,1185 using Euclid's algorithm

Highest Common Factor of 1627,1185 is 1

Step 1: Since 1627 > 1185, we apply the division lemma to 1627 and 1185, to get

1627 = 1185 x 1 + 442

Step 2: Since the reminder 1185 ≠ 0, we apply division lemma to 442 and 1185, to get

1185 = 442 x 2 + 301

Step 3: We consider the new divisor 442 and the new remainder 301, and apply the division lemma to get

442 = 301 x 1 + 141

We consider the new divisor 301 and the new remainder 141,and apply the division lemma to get

301 = 141 x 2 + 19

We consider the new divisor 141 and the new remainder 19,and apply the division lemma to get

141 = 19 x 7 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 1627 and 1185 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(141,19) = HCF(301,141) = HCF(442,301) = HCF(1185,442) = HCF(1627,1185) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1627, 1185 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 1627, 1185?

Answer: HCF of 1627, 1185 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1627, 1185 using Euclid's Algorithm?

Answer: For arbitrary numbers 1627, 1185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.