Highest Common Factor of 1185, 9523 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 1185, 9523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1185, 9523 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 1185, 9523 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 1185, 9523 is 1.

HCF(1185, 9523) = 1

HCF of 1185, 9523 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 1185, 9523 is 1.

Highest Common Factor of 1185,9523 using Euclid's algorithm

Highest Common Factor of 1185,9523 is 1

Step 1: Since 9523 > 1185, we apply the division lemma to 9523 and 1185, to get

9523 = 1185 x 8 + 43

Step 2: Since the reminder 1185 ≠ 0, we apply division lemma to 43 and 1185, to get

1185 = 43 x 27 + 24

Step 3: We consider the new divisor 43 and the new remainder 24, and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1185 and 9523 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(1185,43) = HCF(9523,1185) .

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Frequently Asked Questions on HCF of 1185, 9523 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 1185, 9523?

Answer: HCF of 1185, 9523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1185, 9523 using Euclid's Algorithm?

Answer: For arbitrary numbers 1185, 9523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.