Highest Common Factor of 273, 143, 569 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 273, 143, 569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 273, 143, 569 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 273, 143, 569 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 273, 143, 569 is 1.

HCF(273, 143, 569) = 1

HCF of 273, 143, 569 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 273, 143, 569 is 1.

Highest Common Factor of 273,143,569 using Euclid's algorithm

Highest Common Factor of 273,143,569 is 1

Step 1: Since 273 > 143, we apply the division lemma to 273 and 143, to get

273 = 143 x 1 + 130

Step 2: Since the reminder 143 ≠ 0, we apply division lemma to 130 and 143, to get

143 = 130 x 1 + 13

Step 3: We consider the new divisor 130 and the new remainder 13, and apply the division lemma to get

130 = 13 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 273 and 143 is 13

Notice that 13 = HCF(130,13) = HCF(143,130) = HCF(273,143) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 569 > 13, we apply the division lemma to 569 and 13, to get

569 = 13 x 43 + 10

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 10 and 13, to get

13 = 10 x 1 + 3

Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 569 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(569,13) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 273, 143, 569 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 273, 143, 569?

Answer: HCF of 273, 143, 569 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 273, 143, 569 using Euclid's Algorithm?

Answer: For arbitrary numbers 273, 143, 569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.