Highest Common Factor of 9209, 7815 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 9209, 7815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9209, 7815 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 9209, 7815 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 9209, 7815 is 1.

HCF(9209, 7815) = 1

HCF of 9209, 7815 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 9209, 7815 is 1.

Highest Common Factor of 9209,7815 using Euclid's algorithm

Highest Common Factor of 9209,7815 is 1

Step 1: Since 9209 > 7815, we apply the division lemma to 9209 and 7815, to get

9209 = 7815 x 1 + 1394

Step 2: Since the reminder 7815 ≠ 0, we apply division lemma to 1394 and 7815, to get

7815 = 1394 x 5 + 845

Step 3: We consider the new divisor 1394 and the new remainder 845, and apply the division lemma to get

1394 = 845 x 1 + 549

We consider the new divisor 845 and the new remainder 549,and apply the division lemma to get

845 = 549 x 1 + 296

We consider the new divisor 549 and the new remainder 296,and apply the division lemma to get

549 = 296 x 1 + 253

We consider the new divisor 296 and the new remainder 253,and apply the division lemma to get

296 = 253 x 1 + 43

We consider the new divisor 253 and the new remainder 43,and apply the division lemma to get

253 = 43 x 5 + 38

We consider the new divisor 43 and the new remainder 38,and apply the division lemma to get

43 = 38 x 1 + 5

We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get

38 = 5 x 7 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 9209 and 7815 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(43,38) = HCF(253,43) = HCF(296,253) = HCF(549,296) = HCF(845,549) = HCF(1394,845) = HCF(7815,1394) = HCF(9209,7815) .

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Frequently Asked Questions on HCF of 9209, 7815 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 9209, 7815?

Answer: HCF of 9209, 7815 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9209, 7815 using Euclid's Algorithm?

Answer: For arbitrary numbers 9209, 7815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.