Highest Common Factor of 576, 790, 369 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, 790, 369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 576, 790, 369 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, 790, 369 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, 790, 369 is 1.

HCF(576, 790, 369) = 1

HCF of 576, 790, 369 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, 790, 369 is 1.

Highest Common Factor of 576,790,369 using Euclid's algorithm

Highest Common Factor of 576,790,369 is 1

Step 1: Since 790 > 576, we apply the division lemma to 790 and 576, to get

790 = 576 x 1 + 214

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 214 and 576, to get

576 = 214 x 2 + 148

Step 3: We consider the new divisor 214 and the new remainder 148, and apply the division lemma to get

214 = 148 x 1 + 66

We consider the new divisor 148 and the new remainder 66,and apply the division lemma to get

148 = 66 x 2 + 16

We consider the new divisor 66 and the new remainder 16,and apply the division lemma to get

66 = 16 x 4 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 576 and 790 is 2

Notice that 2 = HCF(16,2) = HCF(66,16) = HCF(148,66) = HCF(214,148) = HCF(576,214) = HCF(790,576) .

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

Step 1: Since 369 > 2, we apply the division lemma to 369 and 2, to get

369 = 2 x 184 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 369 is 1

Notice that 1 = HCF(2,1) = HCF(369,2) .

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Frequently Asked Questions on HCF of 576, 790, 369 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, 790, 369?

Answer: HCF of 576, 790, 369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 576, 790, 369 using Euclid's Algorithm?

Answer: For arbitrary numbers 576, 790, 369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.