Highest Common Factor of 330, 866, 853 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, 866, 853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 330, 866, 853 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, 866, 853 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, 866, 853 is 1.

HCF(330, 866, 853) = 1

HCF of 330, 866, 853 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 330, 866, 853 is 1.

Highest Common Factor of 330,866,853 using Euclid's algorithm

Highest Common Factor of 330,866,853 is 1

Step 1: Since 866 > 330, we apply the division lemma to 866 and 330, to get

866 = 330 x 2 + 206

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 206 and 330, to get

330 = 206 x 1 + 124

Step 3: We consider the new divisor 206 and the new remainder 124, and apply the division lemma to get

206 = 124 x 1 + 82

We consider the new divisor 124 and the new remainder 82,and apply the division lemma to get

124 = 82 x 1 + 42

We consider the new divisor 82 and the new remainder 42,and apply the division lemma to get

82 = 42 x 1 + 40

We consider the new divisor 42 and the new remainder 40,and apply the division lemma to get

42 = 40 x 1 + 2

We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get

40 = 2 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 330 and 866 is 2

Notice that 2 = HCF(40,2) = HCF(42,40) = HCF(82,42) = HCF(124,82) = HCF(206,124) = HCF(330,206) = HCF(866,330) .

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

Step 1: Since 853 > 2, we apply the division lemma to 853 and 2, to get

853 = 2 x 426 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 853 is 1

Notice that 1 = HCF(2,1) = HCF(853,2) .

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Frequently Asked Questions on HCF of 330, 866, 853 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, 866, 853?

Answer: HCF of 330, 866, 853 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 330, 866, 853 using Euclid's Algorithm?

Answer: For arbitrary numbers 330, 866, 853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.