Highest Common Factor of 8230, 5341, 97070 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 8230, 5341, 97070 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8230, 5341, 97070 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 8230, 5341, 97070 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 8230, 5341, 97070 is 1.

HCF(8230, 5341, 97070) = 1

HCF of 8230, 5341, 97070 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 8230, 5341, 97070 is 1.

Highest Common Factor of 8230,5341,97070 using Euclid's algorithm

Highest Common Factor of 8230,5341,97070 is 1

Step 1: Since 8230 > 5341, we apply the division lemma to 8230 and 5341, to get

8230 = 5341 x 1 + 2889

Step 2: Since the reminder 5341 ≠ 0, we apply division lemma to 2889 and 5341, to get

5341 = 2889 x 1 + 2452

Step 3: We consider the new divisor 2889 and the new remainder 2452, and apply the division lemma to get

2889 = 2452 x 1 + 437

We consider the new divisor 2452 and the new remainder 437,and apply the division lemma to get

2452 = 437 x 5 + 267

We consider the new divisor 437 and the new remainder 267,and apply the division lemma to get

437 = 267 x 1 + 170

We consider the new divisor 267 and the new remainder 170,and apply the division lemma to get

267 = 170 x 1 + 97

We consider the new divisor 170 and the new remainder 97,and apply the division lemma to get

170 = 97 x 1 + 73

We consider the new divisor 97 and the new remainder 73,and apply the division lemma to get

97 = 73 x 1 + 24

We consider the new divisor 73 and the new remainder 24,and apply the division lemma to get

73 = 24 x 3 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8230 and 5341 is 1

Notice that 1 = HCF(24,1) = HCF(73,24) = HCF(97,73) = HCF(170,97) = HCF(267,170) = HCF(437,267) = HCF(2452,437) = HCF(2889,2452) = HCF(5341,2889) = HCF(8230,5341) .

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

Step 1: Since 97070 > 1, we apply the division lemma to 97070 and 1, to get

97070 = 1 x 97070 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97070 is 1

Notice that 1 = HCF(97070,1) .

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Frequently Asked Questions on HCF of 8230, 5341, 97070 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 8230, 5341, 97070?

Answer: HCF of 8230, 5341, 97070 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8230, 5341, 97070 using Euclid's Algorithm?

Answer: For arbitrary numbers 8230, 5341, 97070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.