Highest Common Factor of 632, 243 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 632, 243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 632, 243 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 632, 243 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 632, 243 is 1.

HCF(632, 243) = 1

HCF of 632, 243 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 632, 243 is 1.

Highest Common Factor of 632,243 using Euclid's algorithm

Highest Common Factor of 632,243 is 1

Step 1: Since 632 > 243, we apply the division lemma to 632 and 243, to get

632 = 243 x 2 + 146

Step 2: Since the reminder 243 ≠ 0, we apply division lemma to 146 and 243, to get

243 = 146 x 1 + 97

Step 3: We consider the new divisor 146 and the new remainder 97, and apply the division lemma to get

146 = 97 x 1 + 49

We consider the new divisor 97 and the new remainder 49,and apply the division lemma to get

97 = 49 x 1 + 48

We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get

49 = 48 x 1 + 1

We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get

48 = 1 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 632 and 243 is 1

Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(97,49) = HCF(146,97) = HCF(243,146) = HCF(632,243) .

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Frequently Asked Questions on HCF of 632, 243 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 632, 243?

Answer: HCF of 632, 243 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 632, 243 using Euclid's Algorithm?

Answer: For arbitrary numbers 632, 243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.