Highest Common Factor of 1045, 2896 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, 2896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1045, 2896 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, 2896 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, 2896 is 1.

HCF(1045, 2896) = 1

HCF of 1045, 2896 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, 2896 is 1.

Highest Common Factor of 1045,2896 using Euclid's algorithm

Highest Common Factor of 1045,2896 is 1

Step 1: Since 2896 > 1045, we apply the division lemma to 2896 and 1045, to get

2896 = 1045 x 2 + 806

Step 2: Since the reminder 1045 ≠ 0, we apply division lemma to 806 and 1045, to get

1045 = 806 x 1 + 239

Step 3: We consider the new divisor 806 and the new remainder 239, and apply the division lemma to get

806 = 239 x 3 + 89

We consider the new divisor 239 and the new remainder 89,and apply the division lemma to get

239 = 89 x 2 + 61

We consider the new divisor 89 and the new remainder 61,and apply the division lemma to get

89 = 61 x 1 + 28

We consider the new divisor 61 and the new remainder 28,and apply the division lemma to get

61 = 28 x 2 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 1045 and 2896 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(89,61) = HCF(239,89) = HCF(806,239) = HCF(1045,806) = HCF(2896,1045) .

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Frequently Asked Questions on HCF of 1045, 2896 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, 2896?

Answer: HCF of 1045, 2896 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1045, 2896 using Euclid's Algorithm?

Answer: For arbitrary numbers 1045, 2896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.