Highest Common Factor of 453, 639, 302 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, 639, 302 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 453, 639, 302 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, 639, 302 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, 639, 302 is 1.

HCF(453, 639, 302) = 1

HCF of 453, 639, 302 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, 639, 302 is 1.

Highest Common Factor of 453,639,302 using Euclid's algorithm

Highest Common Factor of 453,639,302 is 1

Step 1: Since 639 > 453, we apply the division lemma to 639 and 453, to get

639 = 453 x 1 + 186

Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 186 and 453, to get

453 = 186 x 2 + 81

Step 3: We consider the new divisor 186 and the new remainder 81, and apply the division lemma to get

186 = 81 x 2 + 24

We consider the new divisor 81 and the new remainder 24,and apply the division lemma to get

81 = 24 x 3 + 9

We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get

24 = 9 x 2 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 453 and 639 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(81,24) = HCF(186,81) = HCF(453,186) = HCF(639,453) .

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

Step 1: Since 302 > 3, we apply the division lemma to 302 and 3, to get

302 = 3 x 100 + 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 302 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(302,3) .

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Frequently Asked Questions on HCF of 453, 639, 302 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, 639, 302?

Answer: HCF of 453, 639, 302 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 453, 639, 302 using Euclid's Algorithm?

Answer: For arbitrary numbers 453, 639, 302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.