Highest Common Factor of 437, 744 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 437, 744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 437, 744 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 437, 744 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 437, 744 is 1.

HCF(437, 744) = 1

HCF of 437, 744 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 437, 744 is 1.

Highest Common Factor of 437,744 using Euclid's algorithm

Highest Common Factor of 437,744 is 1

Step 1: Since 744 > 437, we apply the division lemma to 744 and 437, to get

744 = 437 x 1 + 307

Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 307 and 437, to get

437 = 307 x 1 + 130

Step 3: We consider the new divisor 307 and the new remainder 130, and apply the division lemma to get

307 = 130 x 2 + 47

We consider the new divisor 130 and the new remainder 47,and apply the division lemma to get

130 = 47 x 2 + 36

We consider the new divisor 47 and the new remainder 36,and apply the division lemma to get

47 = 36 x 1 + 11

We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get

36 = 11 x 3 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 437 and 744 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(47,36) = HCF(130,47) = HCF(307,130) = HCF(437,307) = HCF(744,437) .

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Frequently Asked Questions on HCF of 437, 744 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 437, 744?

Answer: HCF of 437, 744 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 437, 744 using Euclid's Algorithm?

Answer: For arbitrary numbers 437, 744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.