Highest Common Factor of 436, 247 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 436, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 436, 247 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 436, 247 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 436, 247 is 1.

HCF(436, 247) = 1

HCF of 436, 247 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 436, 247 is 1.

Highest Common Factor of 436,247 using Euclid's algorithm

Highest Common Factor of 436,247 is 1

Step 1: Since 436 > 247, we apply the division lemma to 436 and 247, to get

436 = 247 x 1 + 189

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 189 and 247, to get

247 = 189 x 1 + 58

Step 3: We consider the new divisor 189 and the new remainder 58, and apply the division lemma to get

189 = 58 x 3 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 436 and 247 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(189,58) = HCF(247,189) = HCF(436,247) .

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Frequently Asked Questions on HCF of 436, 247 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 436, 247?

Answer: HCF of 436, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 436, 247 using Euclid's Algorithm?

Answer: For arbitrary numbers 436, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.