Highest Common Factor of 572, 899, 328 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 572, 899, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 572, 899, 328 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 572, 899, 328 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 572, 899, 328 is 1.

HCF(572, 899, 328) = 1

HCF of 572, 899, 328 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 572, 899, 328 is 1.

Highest Common Factor of 572,899,328 using Euclid's algorithm

Highest Common Factor of 572,899,328 is 1

Step 1: Since 899 > 572, we apply the division lemma to 899 and 572, to get

899 = 572 x 1 + 327

Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 327 and 572, to get

572 = 327 x 1 + 245

Step 3: We consider the new divisor 327 and the new remainder 245, and apply the division lemma to get

327 = 245 x 1 + 82

We consider the new divisor 245 and the new remainder 82,and apply the division lemma to get

245 = 82 x 2 + 81

We consider the new divisor 82 and the new remainder 81,and apply the division lemma to get

82 = 81 x 1 + 1

We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 572 and 899 is 1

Notice that 1 = HCF(81,1) = HCF(82,81) = HCF(245,82) = HCF(327,245) = HCF(572,327) = HCF(899,572) .

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

Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get

328 = 1 x 328 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1

Notice that 1 = HCF(328,1) .

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Frequently Asked Questions on HCF of 572, 899, 328 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 572, 899, 328?

Answer: HCF of 572, 899, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 572, 899, 328 using Euclid's Algorithm?

Answer: For arbitrary numbers 572, 899, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.