Highest Common Factor of 2817, 8094, 99130 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 2817, 8094, 99130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2817, 8094, 99130 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 2817, 8094, 99130 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 2817, 8094, 99130 is 1.

HCF(2817, 8094, 99130) = 1

HCF of 2817, 8094, 99130 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 2817, 8094, 99130 is 1.

Highest Common Factor of 2817,8094,99130 using Euclid's algorithm

Highest Common Factor of 2817,8094,99130 is 1

Step 1: Since 8094 > 2817, we apply the division lemma to 8094 and 2817, to get

8094 = 2817 x 2 + 2460

Step 2: Since the reminder 2817 ≠ 0, we apply division lemma to 2460 and 2817, to get

2817 = 2460 x 1 + 357

Step 3: We consider the new divisor 2460 and the new remainder 357, and apply the division lemma to get

2460 = 357 x 6 + 318

We consider the new divisor 357 and the new remainder 318,and apply the division lemma to get

357 = 318 x 1 + 39

We consider the new divisor 318 and the new remainder 39,and apply the division lemma to get

318 = 39 x 8 + 6

We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get

39 = 6 x 6 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2817 and 8094 is 3

Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(318,39) = HCF(357,318) = HCF(2460,357) = HCF(2817,2460) = HCF(8094,2817) .

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

Step 1: Since 99130 > 3, we apply the division lemma to 99130 and 3, to get

99130 = 3 x 33043 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 99130 is 1

Notice that 1 = HCF(3,1) = HCF(99130,3) .

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Frequently Asked Questions on HCF of 2817, 8094, 99130 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 2817, 8094, 99130?

Answer: HCF of 2817, 8094, 99130 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2817, 8094, 99130 using Euclid's Algorithm?

Answer: For arbitrary numbers 2817, 8094, 99130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.