Highest Common Factor of 323, 882, 57 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 323, 882, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 323, 882, 57 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 323, 882, 57 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 323, 882, 57 is 1.

HCF(323, 882, 57) = 1

HCF of 323, 882, 57 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 323, 882, 57 is 1.

Highest Common Factor of 323,882,57 using Euclid's algorithm

Highest Common Factor of 323,882,57 is 1

Step 1: Since 882 > 323, we apply the division lemma to 882 and 323, to get

882 = 323 x 2 + 236

Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 236 and 323, to get

323 = 236 x 1 + 87

Step 3: We consider the new divisor 236 and the new remainder 87, and apply the division lemma to get

236 = 87 x 2 + 62

We consider the new divisor 87 and the new remainder 62,and apply the division lemma to get

87 = 62 x 1 + 25

We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get

62 = 25 x 2 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 323 and 882 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(87,62) = HCF(236,87) = HCF(323,236) = HCF(882,323) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 323, 882, 57 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 323, 882, 57?

Answer: HCF of 323, 882, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 323, 882, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 323, 882, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.