Highest Common Factor of 744, 473, 182 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, 473, 182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 473, 182 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, 473, 182 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, 473, 182 is 1.

HCF(744, 473, 182) = 1

HCF of 744, 473, 182 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, 473, 182 is 1.

Highest Common Factor of 744,473,182 using Euclid's algorithm

Highest Common Factor of 744,473,182 is 1

Step 1: Since 744 > 473, we apply the division lemma to 744 and 473, to get

744 = 473 x 1 + 271

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 271 and 473, to get

473 = 271 x 1 + 202

Step 3: We consider the new divisor 271 and the new remainder 202, and apply the division lemma to get

271 = 202 x 1 + 69

We consider the new divisor 202 and the new remainder 69,and apply the division lemma to get

202 = 69 x 2 + 64

We consider the new divisor 69 and the new remainder 64,and apply the division lemma to get

69 = 64 x 1 + 5

We consider the new divisor 64 and the new remainder 5,and apply the division lemma to get

64 = 5 x 12 + 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 744 and 473 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(64,5) = HCF(69,64) = HCF(202,69) = HCF(271,202) = HCF(473,271) = HCF(744,473) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 182 > 1, we apply the division lemma to 182 and 1, to get

182 = 1 x 182 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 182 is 1

Notice that 1 = HCF(182,1) .

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Frequently Asked Questions on HCF of 744, 473, 182 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, 473, 182?

Answer: HCF of 744, 473, 182 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 473, 182 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 473, 182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.