Highest Common Factor of 744, 80009 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 744, 80009 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 80009 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 744, 80009 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 744, 80009 is 1.

HCF(744, 80009) = 1

HCF of 744, 80009 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 744, 80009 is 1.

Highest Common Factor of 744,80009 using Euclid's algorithm

Highest Common Factor of 744,80009 is 1

Step 1: Since 80009 > 744, we apply the division lemma to 80009 and 744, to get

80009 = 744 x 107 + 401

Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 401 and 744, to get

744 = 401 x 1 + 343

Step 3: We consider the new divisor 401 and the new remainder 343, and apply the division lemma to get

401 = 343 x 1 + 58

We consider the new divisor 343 and the new remainder 58,and apply the division lemma to get

343 = 58 x 5 + 53

We consider the new divisor 58 and the new remainder 53,and apply the division lemma to get

58 = 53 x 1 + 5

We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get

53 = 5 x 10 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 744 and 80009 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(58,53) = HCF(343,58) = HCF(401,343) = HCF(744,401) = HCF(80009,744) .

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Frequently Asked Questions on HCF of 744, 80009 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 744, 80009?

Answer: HCF of 744, 80009 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 80009 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 80009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.