Highest Common Factor of 423, 470 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 423, 470 i.e. 47 the largest integer that leaves a remainder zero for all numbers.

HCF of 423, 470 is 47 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 423, 470 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 423, 470 is 47.

HCF(423, 470) = 47

HCF of 423, 470 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 423, 470 is 47.

Highest Common Factor of 423,470 using Euclid's algorithm

Highest Common Factor of 423,470 is 47

Step 1: Since 470 > 423, we apply the division lemma to 470 and 423, to get

470 = 423 x 1 + 47

Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 47 and 423, to get

423 = 47 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 423 and 470 is 47

Notice that 47 = HCF(423,47) = HCF(470,423) .

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Frequently Asked Questions on HCF of 423, 470 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 423, 470?

Answer: HCF of 423, 470 is 47 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 423, 470 using Euclid's Algorithm?

Answer: For arbitrary numbers 423, 470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.