Highest Common Factor of 1045, 8636 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 1045, 8636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1045, 8636 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 1045, 8636 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 1045, 8636 is 1.

HCF(1045, 8636) = 1

HCF of 1045, 8636 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 1045, 8636 is 1.

Highest Common Factor of 1045,8636 using Euclid's algorithm

Highest Common Factor of 1045,8636 is 1

Step 1: Since 8636 > 1045, we apply the division lemma to 8636 and 1045, to get

8636 = 1045 x 8 + 276

Step 2: Since the reminder 1045 ≠ 0, we apply division lemma to 276 and 1045, to get

1045 = 276 x 3 + 217

Step 3: We consider the new divisor 276 and the new remainder 217, and apply the division lemma to get

276 = 217 x 1 + 59

We consider the new divisor 217 and the new remainder 59,and apply the division lemma to get

217 = 59 x 3 + 40

We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get

59 = 40 x 1 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 1045 and 8636 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(217,59) = HCF(276,217) = HCF(1045,276) = HCF(8636,1045) .

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Frequently Asked Questions on HCF of 1045, 8636 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 1045, 8636?

Answer: HCF of 1045, 8636 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1045, 8636 using Euclid's Algorithm?

Answer: For arbitrary numbers 1045, 8636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.