Highest Common Factor of 460, 18283 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 460, 18283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 460, 18283 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 460, 18283 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 460, 18283 is 1.

HCF(460, 18283) = 1

HCF of 460, 18283 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 460, 18283 is 1.

Highest Common Factor of 460,18283 using Euclid's algorithm

Highest Common Factor of 460,18283 is 1

Step 1: Since 18283 > 460, we apply the division lemma to 18283 and 460, to get

18283 = 460 x 39 + 343

Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 343 and 460, to get

460 = 343 x 1 + 117

Step 3: We consider the new divisor 343 and the new remainder 117, and apply the division lemma to get

343 = 117 x 2 + 109

We consider the new divisor 117 and the new remainder 109,and apply the division lemma to get

117 = 109 x 1 + 8

We consider the new divisor 109 and the new remainder 8,and apply the division lemma to get

109 = 8 x 13 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 460 and 18283 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(109,8) = HCF(117,109) = HCF(343,117) = HCF(460,343) = HCF(18283,460) .

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Frequently Asked Questions on HCF of 460, 18283 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 460, 18283?

Answer: HCF of 460, 18283 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 460, 18283 using Euclid's Algorithm?

Answer: For arbitrary numbers 460, 18283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.