Highest Common Factor of 810, 561, 92 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 810, 561, 92 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 810, 561, 92 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 810, 561, 92 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 810, 561, 92 is 1.

HCF(810, 561, 92) = 1

HCF of 810, 561, 92 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 810, 561, 92 is 1.

Highest Common Factor of 810,561,92 using Euclid's algorithm

Highest Common Factor of 810,561,92 is 1

Step 1: Since 810 > 561, we apply the division lemma to 810 and 561, to get

810 = 561 x 1 + 249

Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 249 and 561, to get

561 = 249 x 2 + 63

Step 3: We consider the new divisor 249 and the new remainder 63, and apply the division lemma to get

249 = 63 x 3 + 60

We consider the new divisor 63 and the new remainder 60,and apply the division lemma to get

63 = 60 x 1 + 3

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

60 = 3 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 810 and 561 is 3

Notice that 3 = HCF(60,3) = HCF(63,60) = HCF(249,63) = HCF(561,249) = HCF(810,561) .

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

Step 1: Since 92 > 3, we apply the division lemma to 92 and 3, to get

92 = 3 x 30 + 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 92 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(92,3) .

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Frequently Asked Questions on HCF of 810, 561, 92 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 810, 561, 92?

Answer: HCF of 810, 561, 92 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 810, 561, 92 using Euclid's Algorithm?

Answer: For arbitrary numbers 810, 561, 92 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.