Highest Common Factor of 903, 543, 166 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 903, 543, 166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 543, 166 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 903, 543, 166 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 903, 543, 166 is 1.

HCF(903, 543, 166) = 1

HCF of 903, 543, 166 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 903, 543, 166 is 1.

Highest Common Factor of 903,543,166 using Euclid's algorithm

Highest Common Factor of 903,543,166 is 1

Step 1: Since 903 > 543, we apply the division lemma to 903 and 543, to get

903 = 543 x 1 + 360

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 360 and 543, to get

543 = 360 x 1 + 183

Step 3: We consider the new divisor 360 and the new remainder 183, and apply the division lemma to get

360 = 183 x 1 + 177

We consider the new divisor 183 and the new remainder 177,and apply the division lemma to get

183 = 177 x 1 + 6

We consider the new divisor 177 and the new remainder 6,and apply the division lemma to get

177 = 6 x 29 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 903 and 543 is 3

Notice that 3 = HCF(6,3) = HCF(177,6) = HCF(183,177) = HCF(360,183) = HCF(543,360) = HCF(903,543) .

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

Step 1: Since 166 > 3, we apply the division lemma to 166 and 3, to get

166 = 3 x 55 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 166 is 1

Notice that 1 = HCF(3,1) = HCF(166,3) .

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Frequently Asked Questions on HCF of 903, 543, 166 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 903, 543, 166?

Answer: HCF of 903, 543, 166 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 543, 166 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 543, 166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.