Highest Common Factor of 1450, 803 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 1450, 803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1450, 803 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 1450, 803 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 1450, 803 is 1.

HCF(1450, 803) = 1

HCF of 1450, 803 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 1450, 803 is 1.

Highest Common Factor of 1450,803 using Euclid's algorithm

Highest Common Factor of 1450,803 is 1

Step 1: Since 1450 > 803, we apply the division lemma to 1450 and 803, to get

1450 = 803 x 1 + 647

Step 2: Since the reminder 803 ≠ 0, we apply division lemma to 647 and 803, to get

803 = 647 x 1 + 156

Step 3: We consider the new divisor 647 and the new remainder 156, and apply the division lemma to get

647 = 156 x 4 + 23

We consider the new divisor 156 and the new remainder 23,and apply the division lemma to get

156 = 23 x 6 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 1450 and 803 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(156,23) = HCF(647,156) = HCF(803,647) = HCF(1450,803) .

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Frequently Asked Questions on HCF of 1450, 803 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 1450, 803?

Answer: HCF of 1450, 803 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1450, 803 using Euclid's Algorithm?

Answer: For arbitrary numbers 1450, 803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.