Highest Common Factor of 453, 291, 287 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, 291, 287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 453, 291, 287 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, 291, 287 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, 291, 287 is 1.

HCF(453, 291, 287) = 1

HCF of 453, 291, 287 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 453, 291, 287 is 1.

Highest Common Factor of 453,291,287 using Euclid's algorithm

Highest Common Factor of 453,291,287 is 1

Step 1: Since 453 > 291, we apply the division lemma to 453 and 291, to get

453 = 291 x 1 + 162

Step 2: Since the reminder 291 ≠ 0, we apply division lemma to 162 and 291, to get

291 = 162 x 1 + 129

Step 3: We consider the new divisor 162 and the new remainder 129, and apply the division lemma to get

162 = 129 x 1 + 33

We consider the new divisor 129 and the new remainder 33,and apply the division lemma to get

129 = 33 x 3 + 30

We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get

33 = 30 x 1 + 3

We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get

30 = 3 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 453 and 291 is 3

Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(129,33) = HCF(162,129) = HCF(291,162) = HCF(453,291) .

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

Step 1: Since 287 > 3, we apply the division lemma to 287 and 3, to get

287 = 3 x 95 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 287 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(287,3) .

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Frequently Asked Questions on HCF of 453, 291, 287 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, 291, 287?

Answer: HCF of 453, 291, 287 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 453, 291, 287 using Euclid's Algorithm?

Answer: For arbitrary numbers 453, 291, 287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.