Highest Common Factor of 449, 738, 519 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 449, 738, 519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 449, 738, 519 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 449, 738, 519 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 449, 738, 519 is 1.

HCF(449, 738, 519) = 1

HCF of 449, 738, 519 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 449, 738, 519 is 1.

Highest Common Factor of 449,738,519 using Euclid's algorithm

Highest Common Factor of 449,738,519 is 1

Step 1: Since 738 > 449, we apply the division lemma to 738 and 449, to get

738 = 449 x 1 + 289

Step 2: Since the reminder 449 ≠ 0, we apply division lemma to 289 and 449, to get

449 = 289 x 1 + 160

Step 3: We consider the new divisor 289 and the new remainder 160, and apply the division lemma to get

289 = 160 x 1 + 129

We consider the new divisor 160 and the new remainder 129,and apply the division lemma to get

160 = 129 x 1 + 31

We consider the new divisor 129 and the new remainder 31,and apply the division lemma to get

129 = 31 x 4 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 449 and 738 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(129,31) = HCF(160,129) = HCF(289,160) = HCF(449,289) = HCF(738,449) .

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

Step 1: Since 519 > 1, we apply the division lemma to 519 and 1, to get

519 = 1 x 519 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 519 is 1

Notice that 1 = HCF(519,1) .

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Frequently Asked Questions on HCF of 449, 738, 519 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 449, 738, 519?

Answer: HCF of 449, 738, 519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 449, 738, 519 using Euclid's Algorithm?

Answer: For arbitrary numbers 449, 738, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.