Highest Common Factor of 453, 784, 664 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 453, 784, 664 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 453, 784, 664 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 453, 784, 664 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 453, 784, 664 is 1.

HCF(453, 784, 664) = 1

HCF of 453, 784, 664 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 453, 784, 664 is 1.

Highest Common Factor of 453,784,664 using Euclid's algorithm

Highest Common Factor of 453,784,664 is 1

Step 1: Since 784 > 453, we apply the division lemma to 784 and 453, to get

784 = 453 x 1 + 331

Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 331 and 453, to get

453 = 331 x 1 + 122

Step 3: We consider the new divisor 331 and the new remainder 122, and apply the division lemma to get

331 = 122 x 2 + 87

We consider the new divisor 122 and the new remainder 87,and apply the division lemma to get

122 = 87 x 1 + 35

We consider the new divisor 87 and the new remainder 35,and apply the division lemma to get

87 = 35 x 2 + 17

We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get

35 = 17 x 2 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 453 and 784 is 1

Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(87,35) = HCF(122,87) = HCF(331,122) = HCF(453,331) = HCF(784,453) .

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

Step 1: Since 664 > 1, we apply the division lemma to 664 and 1, to get

664 = 1 x 664 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 664 is 1

Notice that 1 = HCF(664,1) .

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Frequently Asked Questions on HCF of 453, 784, 664 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 453, 784, 664?

Answer: HCF of 453, 784, 664 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 453, 784, 664 using Euclid's Algorithm?

Answer: For arbitrary numbers 453, 784, 664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.