Highest Common Factor of 2273, 8397 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 2273, 8397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2273, 8397 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 2273, 8397 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 2273, 8397 is 1.

HCF(2273, 8397) = 1

HCF of 2273, 8397 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 2273, 8397 is 1.

Highest Common Factor of 2273,8397 using Euclid's algorithm

Highest Common Factor of 2273,8397 is 1

Step 1: Since 8397 > 2273, we apply the division lemma to 8397 and 2273, to get

8397 = 2273 x 3 + 1578

Step 2: Since the reminder 2273 ≠ 0, we apply division lemma to 1578 and 2273, to get

2273 = 1578 x 1 + 695

Step 3: We consider the new divisor 1578 and the new remainder 695, and apply the division lemma to get

1578 = 695 x 2 + 188

We consider the new divisor 695 and the new remainder 188,and apply the division lemma to get

695 = 188 x 3 + 131

We consider the new divisor 188 and the new remainder 131,and apply the division lemma to get

188 = 131 x 1 + 57

We consider the new divisor 131 and the new remainder 57,and apply the division lemma to get

131 = 57 x 2 + 17

We consider the new divisor 57 and the new remainder 17,and apply the division lemma to get

57 = 17 x 3 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2273 and 8397 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(57,17) = HCF(131,57) = HCF(188,131) = HCF(695,188) = HCF(1578,695) = HCF(2273,1578) = HCF(8397,2273) .

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Frequently Asked Questions on HCF of 2273, 8397 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 2273, 8397?

Answer: HCF of 2273, 8397 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2273, 8397 using Euclid's Algorithm?

Answer: For arbitrary numbers 2273, 8397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.