Highest Common Factor of 885, 546, 881 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 885, 546, 881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 885, 546, 881 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 885, 546, 881 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 885, 546, 881 is 1.

HCF(885, 546, 881) = 1

HCF of 885, 546, 881 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 885, 546, 881 is 1.

Highest Common Factor of 885,546,881 using Euclid's algorithm

Highest Common Factor of 885,546,881 is 1

Step 1: Since 885 > 546, we apply the division lemma to 885 and 546, to get

885 = 546 x 1 + 339

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 339 and 546, to get

546 = 339 x 1 + 207

Step 3: We consider the new divisor 339 and the new remainder 207, and apply the division lemma to get

339 = 207 x 1 + 132

We consider the new divisor 207 and the new remainder 132,and apply the division lemma to get

207 = 132 x 1 + 75

We consider the new divisor 132 and the new remainder 75,and apply the division lemma to get

132 = 75 x 1 + 57

We consider the new divisor 75 and the new remainder 57,and apply the division lemma to get

75 = 57 x 1 + 18

We consider the new divisor 57 and the new remainder 18,and apply the division lemma to get

57 = 18 x 3 + 3

We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get

18 = 3 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 885 and 546 is 3

Notice that 3 = HCF(18,3) = HCF(57,18) = HCF(75,57) = HCF(132,75) = HCF(207,132) = HCF(339,207) = HCF(546,339) = HCF(885,546) .

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

Step 1: Since 881 > 3, we apply the division lemma to 881 and 3, to get

881 = 3 x 293 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 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 3 and 881 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(881,3) .

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Frequently Asked Questions on HCF of 885, 546, 881 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 885, 546, 881?

Answer: HCF of 885, 546, 881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 885, 546, 881 using Euclid's Algorithm?

Answer: For arbitrary numbers 885, 546, 881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.