Highest Common Factor of 901, 573, 288 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 901, 573, 288 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 901, 573, 288 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 901, 573, 288 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 901, 573, 288 is 1.

HCF(901, 573, 288) = 1

HCF of 901, 573, 288 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 901, 573, 288 is 1.

Highest Common Factor of 901,573,288 using Euclid's algorithm

Highest Common Factor of 901,573,288 is 1

Step 1: Since 901 > 573, we apply the division lemma to 901 and 573, to get

901 = 573 x 1 + 328

Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 328 and 573, to get

573 = 328 x 1 + 245

Step 3: We consider the new divisor 328 and the new remainder 245, and apply the division lemma to get

328 = 245 x 1 + 83

We consider the new divisor 245 and the new remainder 83,and apply the division lemma to get

245 = 83 x 2 + 79

We consider the new divisor 83 and the new remainder 79,and apply the division lemma to get

83 = 79 x 1 + 4

We consider the new divisor 79 and the new remainder 4,and apply the division lemma to get

79 = 4 x 19 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 901 and 573 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(79,4) = HCF(83,79) = HCF(245,83) = HCF(328,245) = HCF(573,328) = HCF(901,573) .

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

Step 1: Since 288 > 1, we apply the division lemma to 288 and 1, to get

288 = 1 x 288 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 288 is 1

Notice that 1 = HCF(288,1) .

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Frequently Asked Questions on HCF of 901, 573, 288 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 901, 573, 288?

Answer: HCF of 901, 573, 288 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 901, 573, 288 using Euclid's Algorithm?

Answer: For arbitrary numbers 901, 573, 288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.