Highest Common Factor of 732, 445, 784 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, 445, 784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 732, 445, 784 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, 445, 784 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, 445, 784 is 1.

HCF(732, 445, 784) = 1

HCF of 732, 445, 784 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, 445, 784 is 1.

Highest Common Factor of 732,445,784 using Euclid's algorithm

Highest Common Factor of 732,445,784 is 1

Step 1: Since 732 > 445, we apply the division lemma to 732 and 445, to get

732 = 445 x 1 + 287

Step 2: Since the reminder 445 ≠ 0, we apply division lemma to 287 and 445, to get

445 = 287 x 1 + 158

Step 3: We consider the new divisor 287 and the new remainder 158, and apply the division lemma to get

287 = 158 x 1 + 129

We consider the new divisor 158 and the new remainder 129,and apply the division lemma to get

158 = 129 x 1 + 29

We consider the new divisor 129 and the new remainder 29,and apply the division lemma to get

129 = 29 x 4 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 732 and 445 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(129,29) = HCF(158,129) = HCF(287,158) = HCF(445,287) = HCF(732,445) .

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

Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get

784 = 1 x 784 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1

Notice that 1 = HCF(784,1) .

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Frequently Asked Questions on HCF of 732, 445, 784 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, 445, 784?

Answer: HCF of 732, 445, 784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 732, 445, 784 using Euclid's Algorithm?

Answer: For arbitrary numbers 732, 445, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.