Highest Common Factor of 8171, 6490, 96669 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 8171, 6490, 96669 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8171, 6490, 96669 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 8171, 6490, 96669 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 8171, 6490, 96669 is 1.

HCF(8171, 6490, 96669) = 1

HCF of 8171, 6490, 96669 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 8171, 6490, 96669 is 1.

Highest Common Factor of 8171,6490,96669 using Euclid's algorithm

Highest Common Factor of 8171,6490,96669 is 1

Step 1: Since 8171 > 6490, we apply the division lemma to 8171 and 6490, to get

8171 = 6490 x 1 + 1681

Step 2: Since the reminder 6490 ≠ 0, we apply division lemma to 1681 and 6490, to get

6490 = 1681 x 3 + 1447

Step 3: We consider the new divisor 1681 and the new remainder 1447, and apply the division lemma to get

1681 = 1447 x 1 + 234

We consider the new divisor 1447 and the new remainder 234,and apply the division lemma to get

1447 = 234 x 6 + 43

We consider the new divisor 234 and the new remainder 43,and apply the division lemma to get

234 = 43 x 5 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8171 and 6490 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(234,43) = HCF(1447,234) = HCF(1681,1447) = HCF(6490,1681) = HCF(8171,6490) .

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

Step 1: Since 96669 > 1, we apply the division lemma to 96669 and 1, to get

96669 = 1 x 96669 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96669 is 1

Notice that 1 = HCF(96669,1) .

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Frequently Asked Questions on HCF of 8171, 6490, 96669 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 8171, 6490, 96669?

Answer: HCF of 8171, 6490, 96669 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8171, 6490, 96669 using Euclid's Algorithm?

Answer: For arbitrary numbers 8171, 6490, 96669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.