Highest Common Factor of 8071, 3354, 90091 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 8071, 3354, 90091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8071, 3354, 90091 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 8071, 3354, 90091 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 8071, 3354, 90091 is 1.

HCF(8071, 3354, 90091) = 1

HCF of 8071, 3354, 90091 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 8071, 3354, 90091 is 1.

Highest Common Factor of 8071,3354,90091 using Euclid's algorithm

Highest Common Factor of 8071,3354,90091 is 1

Step 1: Since 8071 > 3354, we apply the division lemma to 8071 and 3354, to get

8071 = 3354 x 2 + 1363

Step 2: Since the reminder 3354 ≠ 0, we apply division lemma to 1363 and 3354, to get

3354 = 1363 x 2 + 628

Step 3: We consider the new divisor 1363 and the new remainder 628, and apply the division lemma to get

1363 = 628 x 2 + 107

We consider the new divisor 628 and the new remainder 107,and apply the division lemma to get

628 = 107 x 5 + 93

We consider the new divisor 107 and the new remainder 93,and apply the division lemma to get

107 = 93 x 1 + 14

We consider the new divisor 93 and the new remainder 14,and apply the division lemma to get

93 = 14 x 6 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 8071 and 3354 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(93,14) = HCF(107,93) = HCF(628,107) = HCF(1363,628) = HCF(3354,1363) = HCF(8071,3354) .

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

Step 1: Since 90091 > 1, we apply the division lemma to 90091 and 1, to get

90091 = 1 x 90091 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90091 is 1

Notice that 1 = HCF(90091,1) .

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Frequently Asked Questions on HCF of 8071, 3354, 90091 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 8071, 3354, 90091?

Answer: HCF of 8071, 3354, 90091 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8071, 3354, 90091 using Euclid's Algorithm?

Answer: For arbitrary numbers 8071, 3354, 90091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.