Highest Common Factor of 468, 743, 973 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 468, 743, 973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 468, 743, 973 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 468, 743, 973 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 468, 743, 973 is 1.

HCF(468, 743, 973) = 1

HCF of 468, 743, 973 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 468, 743, 973 is 1.

Highest Common Factor of 468,743,973 using Euclid's algorithm

Highest Common Factor of 468,743,973 is 1

Step 1: Since 743 > 468, we apply the division lemma to 743 and 468, to get

743 = 468 x 1 + 275

Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 275 and 468, to get

468 = 275 x 1 + 193

Step 3: We consider the new divisor 275 and the new remainder 193, and apply the division lemma to get

275 = 193 x 1 + 82

We consider the new divisor 193 and the new remainder 82,and apply the division lemma to get

193 = 82 x 2 + 29

We consider the new divisor 82 and the new remainder 29,and apply the division lemma to get

82 = 29 x 2 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 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 468 and 743 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(82,29) = HCF(193,82) = HCF(275,193) = HCF(468,275) = HCF(743,468) .

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

Step 1: Since 973 > 1, we apply the division lemma to 973 and 1, to get

973 = 1 x 973 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 973 is 1

Notice that 1 = HCF(973,1) .

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Frequently Asked Questions on HCF of 468, 743, 973 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 468, 743, 973?

Answer: HCF of 468, 743, 973 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 468, 743, 973 using Euclid's Algorithm?

Answer: For arbitrary numbers 468, 743, 973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.