Highest Common Factor of 333, 871, 30 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 333, 871, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 333, 871, 30 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 333, 871, 30 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 333, 871, 30 is 1.

HCF(333, 871, 30) = 1

HCF of 333, 871, 30 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 333, 871, 30 is 1.

Highest Common Factor of 333,871,30 using Euclid's algorithm

Highest Common Factor of 333,871,30 is 1

Step 1: Since 871 > 333, we apply the division lemma to 871 and 333, to get

871 = 333 x 2 + 205

Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 205 and 333, to get

333 = 205 x 1 + 128

Step 3: We consider the new divisor 205 and the new remainder 128, and apply the division lemma to get

205 = 128 x 1 + 77

We consider the new divisor 128 and the new remainder 77,and apply the division lemma to get

128 = 77 x 1 + 51

We consider the new divisor 77 and the new remainder 51,and apply the division lemma to get

77 = 51 x 1 + 26

We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get

51 = 26 x 1 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 333 and 871 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(77,51) = HCF(128,77) = HCF(205,128) = HCF(333,205) = HCF(871,333) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 333, 871, 30 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 333, 871, 30?

Answer: HCF of 333, 871, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 333, 871, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 333, 871, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.