Highest Common Factor of 522, 318, 571 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 522, 318, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 522, 318, 571 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 522, 318, 571 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 522, 318, 571 is 1.

HCF(522, 318, 571) = 1

HCF of 522, 318, 571 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 522, 318, 571 is 1.

Highest Common Factor of 522,318,571 using Euclid's algorithm

Highest Common Factor of 522,318,571 is 1

Step 1: Since 522 > 318, we apply the division lemma to 522 and 318, to get

522 = 318 x 1 + 204

Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 204 and 318, to get

318 = 204 x 1 + 114

Step 3: We consider the new divisor 204 and the new remainder 114, and apply the division lemma to get

204 = 114 x 1 + 90

We consider the new divisor 114 and the new remainder 90,and apply the division lemma to get

114 = 90 x 1 + 24

We consider the new divisor 90 and the new remainder 24,and apply the division lemma to get

90 = 24 x 3 + 18

We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get

24 = 18 x 1 + 6

We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get

18 = 6 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 522 and 318 is 6

Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(90,24) = HCF(114,90) = HCF(204,114) = HCF(318,204) = HCF(522,318) .

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

Step 1: Since 571 > 6, we apply the division lemma to 571 and 6, to get

571 = 6 x 95 + 1

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 571 is 1

Notice that 1 = HCF(6,1) = HCF(571,6) .

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Frequently Asked Questions on HCF of 522, 318, 571 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 522, 318, 571?

Answer: HCF of 522, 318, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 522, 318, 571 using Euclid's Algorithm?

Answer: For arbitrary numbers 522, 318, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.