Highest Common Factor of 252, 868, 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 252, 868, 576 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 252, 868, 576 is 4 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 252, 868, 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 252, 868, 576 is 4.

HCF(252, 868, 576) = 4

HCF of 252, 868, 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 252, 868, 576 is 4.

Highest Common Factor of 252,868,576 using Euclid's algorithm

Highest Common Factor of 252,868,576 is 4

Step 1: Since 868 > 252, we apply the division lemma to 868 and 252, to get

868 = 252 x 3 + 112

Step 2: Since the reminder 252 ≠ 0, we apply division lemma to 112 and 252, to get

252 = 112 x 2 + 28

Step 3: We consider the new divisor 112 and the new remainder 28, and apply the division lemma to get

112 = 28 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 252 and 868 is 28

Notice that 28 = HCF(112,28) = HCF(252,112) = HCF(868,252) .

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

Step 1: Since 576 > 28, we apply the division lemma to 576 and 28, to get

576 = 28 x 20 + 16

Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 16 and 28, to get

28 = 16 x 1 + 12

Step 3: We consider the new divisor 16 and the new remainder 12, and apply the division lemma to get

16 = 12 x 1 + 4

We consider the new divisor 12 and the new remainder 4, and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 28 and 576 is 4

Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(576,28) .

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Frequently Asked Questions on HCF of 252, 868, 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 252, 868, 576?

Answer: HCF of 252, 868, 576 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 252, 868, 576 using Euclid's Algorithm?

Answer: For arbitrary numbers 252, 868, 576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.