Highest Common Factor of 787, 576 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 787, 576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 787, 576 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 787, 576 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 787, 576 is 1.

HCF(787, 576) = 1

HCF of 787, 576 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 787, 576 is 1.

Highest Common Factor of 787,576 using Euclid's algorithm

Highest Common Factor of 787,576 is 1

Step 1: Since 787 > 576, we apply the division lemma to 787 and 576, to get

787 = 576 x 1 + 211

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 211 and 576, to get

576 = 211 x 2 + 154

Step 3: We consider the new divisor 211 and the new remainder 154, and apply the division lemma to get

211 = 154 x 1 + 57

We consider the new divisor 154 and the new remainder 57,and apply the division lemma to get

154 = 57 x 2 + 40

We consider the new divisor 57 and the new remainder 40,and apply the division lemma to get

57 = 40 x 1 + 17

We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get

40 = 17 x 2 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 787 and 576 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(57,40) = HCF(154,57) = HCF(211,154) = HCF(576,211) = HCF(787,576) .

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Frequently Asked Questions on HCF of 787, 576 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 787, 576?

Answer: HCF of 787, 576 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 787, 576 using Euclid's Algorithm?

Answer: For arbitrary numbers 787, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.