Highest Common Factor of 330, 195, 887 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 330, 195, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 330, 195, 887 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 330, 195, 887 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 330, 195, 887 is 1.

HCF(330, 195, 887) = 1

HCF of 330, 195, 887 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 330, 195, 887 is 1.

Highest Common Factor of 330,195,887 using Euclid's algorithm

Highest Common Factor of 330,195,887 is 1

Step 1: Since 330 > 195, we apply the division lemma to 330 and 195, to get

330 = 195 x 1 + 135

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 135 and 195, to get

195 = 135 x 1 + 60

Step 3: We consider the new divisor 135 and the new remainder 60, and apply the division lemma to get

135 = 60 x 2 + 15

We consider the new divisor 60 and the new remainder 15, and apply the division lemma to get

60 = 15 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 330 and 195 is 15

Notice that 15 = HCF(60,15) = HCF(135,60) = HCF(195,135) = HCF(330,195) .

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

Step 1: Since 887 > 15, we apply the division lemma to 887 and 15, to get

887 = 15 x 59 + 2

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 2 and 15, to get

15 = 2 x 7 + 1

Step 3: 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 15 and 887 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(887,15) .

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Frequently Asked Questions on HCF of 330, 195, 887 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 330, 195, 887?

Answer: HCF of 330, 195, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 330, 195, 887 using Euclid's Algorithm?

Answer: For arbitrary numbers 330, 195, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.