Highest Common Factor of 473, 639, 286 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 473, 639, 286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 473, 639, 286 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 473, 639, 286 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 473, 639, 286 is 1.

HCF(473, 639, 286) = 1

HCF of 473, 639, 286 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 473, 639, 286 is 1.

Highest Common Factor of 473,639,286 using Euclid's algorithm

Highest Common Factor of 473,639,286 is 1

Step 1: Since 639 > 473, we apply the division lemma to 639 and 473, to get

639 = 473 x 1 + 166

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 166 and 473, to get

473 = 166 x 2 + 141

Step 3: We consider the new divisor 166 and the new remainder 141, and apply the division lemma to get

166 = 141 x 1 + 25

We consider the new divisor 141 and the new remainder 25,and apply the division lemma to get

141 = 25 x 5 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 473 and 639 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(141,25) = HCF(166,141) = HCF(473,166) = HCF(639,473) .

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

Step 1: Since 286 > 1, we apply the division lemma to 286 and 1, to get

286 = 1 x 286 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 286 is 1

Notice that 1 = HCF(286,1) .

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Frequently Asked Questions on HCF of 473, 639, 286 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 473, 639, 286?

Answer: HCF of 473, 639, 286 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 473, 639, 286 using Euclid's Algorithm?

Answer: For arbitrary numbers 473, 639, 286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.