Highest Common Factor of 732, 452, 329 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 732, 452, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 732, 452, 329 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 732, 452, 329 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 732, 452, 329 is 1.

HCF(732, 452, 329) = 1

HCF of 732, 452, 329 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 732, 452, 329 is 1.

Highest Common Factor of 732,452,329 using Euclid's algorithm

Highest Common Factor of 732,452,329 is 1

Step 1: Since 732 > 452, we apply the division lemma to 732 and 452, to get

732 = 452 x 1 + 280

Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 280 and 452, to get

452 = 280 x 1 + 172

Step 3: We consider the new divisor 280 and the new remainder 172, and apply the division lemma to get

280 = 172 x 1 + 108

We consider the new divisor 172 and the new remainder 108,and apply the division lemma to get

172 = 108 x 1 + 64

We consider the new divisor 108 and the new remainder 64,and apply the division lemma to get

108 = 64 x 1 + 44

We consider the new divisor 64 and the new remainder 44,and apply the division lemma to get

64 = 44 x 1 + 20

We consider the new divisor 44 and the new remainder 20,and apply the division lemma to get

44 = 20 x 2 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 732 and 452 is 4

Notice that 4 = HCF(20,4) = HCF(44,20) = HCF(64,44) = HCF(108,64) = HCF(172,108) = HCF(280,172) = HCF(452,280) = HCF(732,452) .

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

Step 1: Since 329 > 4, we apply the division lemma to 329 and 4, to get

329 = 4 x 82 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 329 is 1

Notice that 1 = HCF(4,1) = HCF(329,4) .

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Frequently Asked Questions on HCF of 732, 452, 329 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 732, 452, 329?

Answer: HCF of 732, 452, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 732, 452, 329 using Euclid's Algorithm?

Answer: For arbitrary numbers 732, 452, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.