Highest Common Factor of 814, 873, 161 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 814, 873, 161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 814, 873, 161 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 814, 873, 161 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 814, 873, 161 is 1.

HCF(814, 873, 161) = 1

HCF of 814, 873, 161 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 814, 873, 161 is 1.

Highest Common Factor of 814,873,161 using Euclid's algorithm

Highest Common Factor of 814,873,161 is 1

Step 1: Since 873 > 814, we apply the division lemma to 873 and 814, to get

873 = 814 x 1 + 59

Step 2: Since the reminder 814 ≠ 0, we apply division lemma to 59 and 814, to get

814 = 59 x 13 + 47

Step 3: We consider the new divisor 59 and the new remainder 47, and apply the division lemma to get

59 = 47 x 1 + 12

We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get

47 = 12 x 3 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 814 and 873 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(59,47) = HCF(814,59) = HCF(873,814) .

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

Step 1: Since 161 > 1, we apply the division lemma to 161 and 1, to get

161 = 1 x 161 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 161 is 1

Notice that 1 = HCF(161,1) .

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Frequently Asked Questions on HCF of 814, 873, 161 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 814, 873, 161?

Answer: HCF of 814, 873, 161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 814, 873, 161 using Euclid's Algorithm?

Answer: For arbitrary numbers 814, 873, 161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.