Highest Common Factor of 450, 283 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 450, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 450, 283 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 450, 283 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 450, 283 is 1.

HCF(450, 283) = 1

HCF of 450, 283 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 450, 283 is 1.

Highest Common Factor of 450,283 using Euclid's algorithm

Highest Common Factor of 450,283 is 1

Step 1: Since 450 > 283, we apply the division lemma to 450 and 283, to get

450 = 283 x 1 + 167

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 167 and 283, to get

283 = 167 x 1 + 116

Step 3: We consider the new divisor 167 and the new remainder 116, and apply the division lemma to get

167 = 116 x 1 + 51

We consider the new divisor 116 and the new remainder 51,and apply the division lemma to get

116 = 51 x 2 + 14

We consider the new divisor 51 and the new remainder 14,and apply the division lemma to get

51 = 14 x 3 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 450 and 283 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(51,14) = HCF(116,51) = HCF(167,116) = HCF(283,167) = HCF(450,283) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 450, 283 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 450, 283?

Answer: HCF of 450, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 450, 283 using Euclid's Algorithm?

Answer: For arbitrary numbers 450, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.