Highest Common Factor of 473, 290 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, 290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 473, 290 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, 290 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, 290 is 1.

HCF(473, 290) = 1

HCF of 473, 290 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, 290 is 1.

Highest Common Factor of 473,290 using Euclid's algorithm

Highest Common Factor of 473,290 is 1

Step 1: Since 473 > 290, we apply the division lemma to 473 and 290, to get

473 = 290 x 1 + 183

Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 183 and 290, to get

290 = 183 x 1 + 107

Step 3: We consider the new divisor 183 and the new remainder 107, and apply the division lemma to get

183 = 107 x 1 + 76

We consider the new divisor 107 and the new remainder 76,and apply the division lemma to get

107 = 76 x 1 + 31

We consider the new divisor 76 and the new remainder 31,and apply the division lemma to get

76 = 31 x 2 + 14

We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get

31 = 14 x 2 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 473 and 290 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(76,31) = HCF(107,76) = HCF(183,107) = HCF(290,183) = HCF(473,290) .

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Frequently Asked Questions on HCF of 473, 290 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, 290?

Answer: HCF of 473, 290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 473, 290 using Euclid's Algorithm?

Answer: For arbitrary numbers 473, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.