Highest Common Factor of 573, 968, 403 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 573, 968, 403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 573, 968, 403 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 573, 968, 403 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 573, 968, 403 is 1.

HCF(573, 968, 403) = 1

HCF of 573, 968, 403 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 573, 968, 403 is 1.

Highest Common Factor of 573,968,403 using Euclid's algorithm

Highest Common Factor of 573,968,403 is 1

Step 1: Since 968 > 573, we apply the division lemma to 968 and 573, to get

968 = 573 x 1 + 395

Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 395 and 573, to get

573 = 395 x 1 + 178

Step 3: We consider the new divisor 395 and the new remainder 178, and apply the division lemma to get

395 = 178 x 2 + 39

We consider the new divisor 178 and the new remainder 39,and apply the division lemma to get

178 = 39 x 4 + 22

We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get

39 = 22 x 1 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 573 and 968 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(178,39) = HCF(395,178) = HCF(573,395) = HCF(968,573) .

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

Step 1: Since 403 > 1, we apply the division lemma to 403 and 1, to get

403 = 1 x 403 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 403 is 1

Notice that 1 = HCF(403,1) .

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Frequently Asked Questions on HCF of 573, 968, 403 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 573, 968, 403?

Answer: HCF of 573, 968, 403 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 573, 968, 403 using Euclid's Algorithm?

Answer: For arbitrary numbers 573, 968, 403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.