Highest Common Factor of 469, 38 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 469, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 469, 38 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 469, 38 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 469, 38 is 1.

HCF(469, 38) = 1

HCF of 469, 38 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 469, 38 is 1.

Highest Common Factor of 469,38 using Euclid's algorithm

Highest Common Factor of 469,38 is 1

Step 1: Since 469 > 38, we apply the division lemma to 469 and 38, to get

469 = 38 x 12 + 13

Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 13 and 38, to get

38 = 13 x 2 + 12

Step 3: We consider the new divisor 13 and the new remainder 12, and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 469 and 38 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(469,38) .

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Frequently Asked Questions on HCF of 469, 38 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 469, 38?

Answer: HCF of 469, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 469, 38 using Euclid's Algorithm?

Answer: For arbitrary numbers 469, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.