Highest Common Factor of 899, 576, 518 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 899, 576, 518 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 899, 576, 518 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 899, 576, 518 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 899, 576, 518 is 1.

HCF(899, 576, 518) = 1

HCF of 899, 576, 518 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 899, 576, 518 is 1.

Highest Common Factor of 899,576,518 using Euclid's algorithm

Highest Common Factor of 899,576,518 is 1

Step 1: Since 899 > 576, we apply the division lemma to 899 and 576, to get

899 = 576 x 1 + 323

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 323 and 576, to get

576 = 323 x 1 + 253

Step 3: We consider the new divisor 323 and the new remainder 253, and apply the division lemma to get

323 = 253 x 1 + 70

We consider the new divisor 253 and the new remainder 70,and apply the division lemma to get

253 = 70 x 3 + 43

We consider the new divisor 70 and the new remainder 43,and apply the division lemma to get

70 = 43 x 1 + 27

We consider the new divisor 43 and the new remainder 27,and apply the division lemma to get

43 = 27 x 1 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 899 and 576 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(43,27) = HCF(70,43) = HCF(253,70) = HCF(323,253) = HCF(576,323) = HCF(899,576) .

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

Step 1: Since 518 > 1, we apply the division lemma to 518 and 1, to get

518 = 1 x 518 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 518 is 1

Notice that 1 = HCF(518,1) .

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Frequently Asked Questions on HCF of 899, 576, 518 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 899, 576, 518?

Answer: HCF of 899, 576, 518 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 899, 576, 518 using Euclid's Algorithm?

Answer: For arbitrary numbers 899, 576, 518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.