Highest Common Factor of 576, 939, 832 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, 939, 832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 576, 939, 832 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, 939, 832 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, 939, 832 is 1.

HCF(576, 939, 832) = 1

HCF of 576, 939, 832 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, 939, 832 is 1.

Highest Common Factor of 576,939,832 using Euclid's algorithm

Highest Common Factor of 576,939,832 is 1

Step 1: Since 939 > 576, we apply the division lemma to 939 and 576, to get

939 = 576 x 1 + 363

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 363 and 576, to get

576 = 363 x 1 + 213

Step 3: We consider the new divisor 363 and the new remainder 213, and apply the division lemma to get

363 = 213 x 1 + 150

We consider the new divisor 213 and the new remainder 150,and apply the division lemma to get

213 = 150 x 1 + 63

We consider the new divisor 150 and the new remainder 63,and apply the division lemma to get

150 = 63 x 2 + 24

We consider the new divisor 63 and the new remainder 24,and apply the division lemma to get

63 = 24 x 2 + 15

We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get

24 = 15 x 1 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 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 576 and 939 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(63,24) = HCF(150,63) = HCF(213,150) = HCF(363,213) = HCF(576,363) = HCF(939,576) .

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

Step 1: Since 832 > 3, we apply the division lemma to 832 and 3, to get

832 = 3 x 277 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 832 is 1

Notice that 1 = HCF(3,1) = HCF(832,3) .

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Frequently Asked Questions on HCF of 576, 939, 832 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, 939, 832?

Answer: HCF of 576, 939, 832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 576, 939, 832 using Euclid's Algorithm?

Answer: For arbitrary numbers 576, 939, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.