Highest Common Factor of 800, 298, 383 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 800, 298, 383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 800, 298, 383 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 800, 298, 383 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 800, 298, 383 is 1.

HCF(800, 298, 383) = 1

HCF of 800, 298, 383 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 800, 298, 383 is 1.

Highest Common Factor of 800,298,383 using Euclid's algorithm

Highest Common Factor of 800,298,383 is 1

Step 1: Since 800 > 298, we apply the division lemma to 800 and 298, to get

800 = 298 x 2 + 204

Step 2: Since the reminder 298 ≠ 0, we apply division lemma to 204 and 298, to get

298 = 204 x 1 + 94

Step 3: We consider the new divisor 204 and the new remainder 94, and apply the division lemma to get

204 = 94 x 2 + 16

We consider the new divisor 94 and the new remainder 16,and apply the division lemma to get

94 = 16 x 5 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 800 and 298 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(94,16) = HCF(204,94) = HCF(298,204) = HCF(800,298) .

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

Step 1: Since 383 > 2, we apply the division lemma to 383 and 2, to get

383 = 2 x 191 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 383 is 1

Notice that 1 = HCF(2,1) = HCF(383,2) .

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Frequently Asked Questions on HCF of 800, 298, 383 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 800, 298, 383?

Answer: HCF of 800, 298, 383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 800, 298, 383 using Euclid's Algorithm?

Answer: For arbitrary numbers 800, 298, 383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.