Highest Common Factor of 438, 727 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 438, 727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 438, 727 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 438, 727 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 438, 727 is 1.

HCF(438, 727) = 1

HCF of 438, 727 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 438, 727 is 1.

Highest Common Factor of 438,727 using Euclid's algorithm

Highest Common Factor of 438,727 is 1

Step 1: Since 727 > 438, we apply the division lemma to 727 and 438, to get

727 = 438 x 1 + 289

Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 289 and 438, to get

438 = 289 x 1 + 149

Step 3: We consider the new divisor 289 and the new remainder 149, and apply the division lemma to get

289 = 149 x 1 + 140

We consider the new divisor 149 and the new remainder 140,and apply the division lemma to get

149 = 140 x 1 + 9

We consider the new divisor 140 and the new remainder 9,and apply the division lemma to get

140 = 9 x 15 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 438 and 727 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(140,9) = HCF(149,140) = HCF(289,149) = HCF(438,289) = HCF(727,438) .

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Frequently Asked Questions on HCF of 438, 727 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 438, 727?

Answer: HCF of 438, 727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 438, 727 using Euclid's Algorithm?

Answer: For arbitrary numbers 438, 727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.