Highest Common Factor of 243, 230 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 243, 230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 243, 230 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 243, 230 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 243, 230 is 1.

HCF(243, 230) = 1

HCF of 243, 230 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 243, 230 is 1.

Highest Common Factor of 243,230 using Euclid's algorithm

Highest Common Factor of 243,230 is 1

Step 1: Since 243 > 230, we apply the division lemma to 243 and 230, to get

243 = 230 x 1 + 13

Step 2: Since the reminder 230 ≠ 0, we apply division lemma to 13 and 230, to get

230 = 13 x 17 + 9

Step 3: We consider the new divisor 13 and the new remainder 9, and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 243 and 230 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(230,13) = HCF(243,230) .

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Frequently Asked Questions on HCF of 243, 230 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 243, 230?

Answer: HCF of 243, 230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 243, 230 using Euclid's Algorithm?

Answer: For arbitrary numbers 243, 230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.