Highest Common Factor of 803, 528, 593 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 803, 528, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 803, 528, 593 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 803, 528, 593 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 803, 528, 593 is 1.

HCF(803, 528, 593) = 1

HCF of 803, 528, 593 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 803, 528, 593 is 1.

Highest Common Factor of 803,528,593 using Euclid's algorithm

Highest Common Factor of 803,528,593 is 1

Step 1: Since 803 > 528, we apply the division lemma to 803 and 528, to get

803 = 528 x 1 + 275

Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 275 and 528, to get

528 = 275 x 1 + 253

Step 3: We consider the new divisor 275 and the new remainder 253, and apply the division lemma to get

275 = 253 x 1 + 22

We consider the new divisor 253 and the new remainder 22,and apply the division lemma to get

253 = 22 x 11 + 11

We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get

22 = 11 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 803 and 528 is 11

Notice that 11 = HCF(22,11) = HCF(253,22) = HCF(275,253) = HCF(528,275) = HCF(803,528) .

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

Step 1: Since 593 > 11, we apply the division lemma to 593 and 11, to get

593 = 11 x 53 + 10

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 10 and 11, to get

11 = 10 x 1 + 1

Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 593 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(593,11) .

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Frequently Asked Questions on HCF of 803, 528, 593 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 803, 528, 593?

Answer: HCF of 803, 528, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 803, 528, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 803, 528, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.