Highest Common Factor of 282, 423 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 282, 423 i.e. 141 the largest integer that leaves a remainder zero for all numbers.

HCF of 282, 423 is 141 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 282, 423 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 282, 423 is 141.

HCF(282, 423) = 141

HCF of 282, 423 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 282, 423 is 141.

Highest Common Factor of 282,423 using Euclid's algorithm

Highest Common Factor of 282,423 is 141

Step 1: Since 423 > 282, we apply the division lemma to 423 and 282, to get

423 = 282 x 1 + 141

Step 2: Since the reminder 282 ≠ 0, we apply division lemma to 141 and 282, to get

282 = 141 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 141, the HCF of 282 and 423 is 141

Notice that 141 = HCF(282,141) = HCF(423,282) .

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Frequently Asked Questions on HCF of 282, 423 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 282, 423?

Answer: HCF of 282, 423 is 141 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 282, 423 using Euclid's Algorithm?

Answer: For arbitrary numbers 282, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.