Highest Common Factor of 576, 888 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, 888 i.e. 24 the largest integer that leaves a remainder zero for all numbers.

HCF of 576, 888 is 24 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, 888 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, 888 is 24.

HCF(576, 888) = 24

HCF of 576, 888 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, 888 is 24.

Highest Common Factor of 576,888 using Euclid's algorithm

Highest Common Factor of 576,888 is 24

Step 1: Since 888 > 576, we apply the division lemma to 888 and 576, to get

888 = 576 x 1 + 312

Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 312 and 576, to get

576 = 312 x 1 + 264

Step 3: We consider the new divisor 312 and the new remainder 264, and apply the division lemma to get

312 = 264 x 1 + 48

We consider the new divisor 264 and the new remainder 48,and apply the division lemma to get

264 = 48 x 5 + 24

We consider the new divisor 48 and the new remainder 24,and apply the division lemma to get

48 = 24 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 576 and 888 is 24

Notice that 24 = HCF(48,24) = HCF(264,48) = HCF(312,264) = HCF(576,312) = HCF(888,576) .

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Frequently Asked Questions on HCF of 576, 888 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, 888?

Answer: HCF of 576, 888 is 24 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 576, 888 using Euclid's Algorithm?

Answer: For arbitrary numbers 576, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.