Highest Common Factor of 8793, 1205 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 8793, 1205 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8793, 1205 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 8793, 1205 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 8793, 1205 is 1.

HCF(8793, 1205) = 1

HCF of 8793, 1205 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 8793, 1205 is 1.

Highest Common Factor of 8793,1205 using Euclid's algorithm

Highest Common Factor of 8793,1205 is 1

Step 1: Since 8793 > 1205, we apply the division lemma to 8793 and 1205, to get

8793 = 1205 x 7 + 358

Step 2: Since the reminder 1205 ≠ 0, we apply division lemma to 358 and 1205, to get

1205 = 358 x 3 + 131

Step 3: We consider the new divisor 358 and the new remainder 131, and apply the division lemma to get

358 = 131 x 2 + 96

We consider the new divisor 131 and the new remainder 96,and apply the division lemma to get

131 = 96 x 1 + 35

We consider the new divisor 96 and the new remainder 35,and apply the division lemma to get

96 = 35 x 2 + 26

We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get

35 = 26 x 1 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8793 and 1205 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(96,35) = HCF(131,96) = HCF(358,131) = HCF(1205,358) = HCF(8793,1205) .

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Frequently Asked Questions on HCF of 8793, 1205 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 8793, 1205?

Answer: HCF of 8793, 1205 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8793, 1205 using Euclid's Algorithm?

Answer: For arbitrary numbers 8793, 1205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.