Highest Common Factor of 1883, 3083 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 1883, 3083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1883, 3083 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 1883, 3083 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 1883, 3083 is 1.

HCF(1883, 3083) = 1

HCF of 1883, 3083 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 1883, 3083 is 1.

Highest Common Factor of 1883,3083 using Euclid's algorithm

Highest Common Factor of 1883,3083 is 1

Step 1: Since 3083 > 1883, we apply the division lemma to 3083 and 1883, to get

3083 = 1883 x 1 + 1200

Step 2: Since the reminder 1883 ≠ 0, we apply division lemma to 1200 and 1883, to get

1883 = 1200 x 1 + 683

Step 3: We consider the new divisor 1200 and the new remainder 683, and apply the division lemma to get

1200 = 683 x 1 + 517

We consider the new divisor 683 and the new remainder 517,and apply the division lemma to get

683 = 517 x 1 + 166

We consider the new divisor 517 and the new remainder 166,and apply the division lemma to get

517 = 166 x 3 + 19

We consider the new divisor 166 and the new remainder 19,and apply the division lemma to get

166 = 19 x 8 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 1883 and 3083 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(166,19) = HCF(517,166) = HCF(683,517) = HCF(1200,683) = HCF(1883,1200) = HCF(3083,1883) .

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Frequently Asked Questions on HCF of 1883, 3083 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 1883, 3083?

Answer: HCF of 1883, 3083 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1883, 3083 using Euclid's Algorithm?

Answer: For arbitrary numbers 1883, 3083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.