Highest Common Factor of 9509, 8097 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 9509, 8097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9509, 8097 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 9509, 8097 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 9509, 8097 is 1.

HCF(9509, 8097) = 1

HCF of 9509, 8097 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 9509, 8097 is 1.

Highest Common Factor of 9509,8097 using Euclid's algorithm

Highest Common Factor of 9509,8097 is 1

Step 1: Since 9509 > 8097, we apply the division lemma to 9509 and 8097, to get

9509 = 8097 x 1 + 1412

Step 2: Since the reminder 8097 ≠ 0, we apply division lemma to 1412 and 8097, to get

8097 = 1412 x 5 + 1037

Step 3: We consider the new divisor 1412 and the new remainder 1037, and apply the division lemma to get

1412 = 1037 x 1 + 375

We consider the new divisor 1037 and the new remainder 375,and apply the division lemma to get

1037 = 375 x 2 + 287

We consider the new divisor 375 and the new remainder 287,and apply the division lemma to get

375 = 287 x 1 + 88

We consider the new divisor 287 and the new remainder 88,and apply the division lemma to get

287 = 88 x 3 + 23

We consider the new divisor 88 and the new remainder 23,and apply the division lemma to get

88 = 23 x 3 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9509 and 8097 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(88,23) = HCF(287,88) = HCF(375,287) = HCF(1037,375) = HCF(1412,1037) = HCF(8097,1412) = HCF(9509,8097) .

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Frequently Asked Questions on HCF of 9509, 8097 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 9509, 8097?

Answer: HCF of 9509, 8097 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9509, 8097 using Euclid's Algorithm?

Answer: For arbitrary numbers 9509, 8097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.