Highest Common Factor of 576, 9064, 3917 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 576, 9064, 3917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 576, 9064, 3917 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 576, 9064, 3917 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 576, 9064, 3917 is 1.

HCF(576, 9064, 3917) = 1

HCF of 576, 9064, 3917 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 576, 9064, 3917 is 1.

Highest Common Factor of 576,9064,3917 using Euclid's algorithm

Highest Common Factor of 576,9064,3917 is 1

Step 1: Since 9064 > 576, we apply the division lemma to 9064 and 576, to get

9064 = 576 x 15 + 424

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 424 and 576, to get

576 = 424 x 1 + 152

Step 3: We consider the new divisor 424 and the new remainder 152, and apply the division lemma to get

424 = 152 x 2 + 120

We consider the new divisor 152 and the new remainder 120,and apply the division lemma to get

152 = 120 x 1 + 32

We consider the new divisor 120 and the new remainder 32,and apply the division lemma to get

120 = 32 x 3 + 24

We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get

32 = 24 x 1 + 8

We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get

24 = 8 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 576 and 9064 is 8

Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(120,32) = HCF(152,120) = HCF(424,152) = HCF(576,424) = HCF(9064,576) .

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

Step 1: Since 3917 > 8, we apply the division lemma to 3917 and 8, to get

3917 = 8 x 489 + 5

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 5 and 8, to get

8 = 5 x 1 + 3

Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get

5 = 3 x 1 + 2

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

3 = 2 x 1 + 1

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 8 and 3917 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(3917,8) .

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Frequently Asked Questions on HCF of 576, 9064, 3917 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 576, 9064, 3917?

Answer: HCF of 576, 9064, 3917 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 576, 9064, 3917 using Euclid's Algorithm?

Answer: For arbitrary numbers 576, 9064, 3917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.