Highest Common Factor of 2333, 3878 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 2333, 3878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2333, 3878 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 2333, 3878 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 2333, 3878 is 1.

HCF(2333, 3878) = 1

HCF of 2333, 3878 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 2333, 3878 is 1.

Highest Common Factor of 2333,3878 using Euclid's algorithm

Highest Common Factor of 2333,3878 is 1

Step 1: Since 3878 > 2333, we apply the division lemma to 3878 and 2333, to get

3878 = 2333 x 1 + 1545

Step 2: Since the reminder 2333 ≠ 0, we apply division lemma to 1545 and 2333, to get

2333 = 1545 x 1 + 788

Step 3: We consider the new divisor 1545 and the new remainder 788, and apply the division lemma to get

1545 = 788 x 1 + 757

We consider the new divisor 788 and the new remainder 757,and apply the division lemma to get

788 = 757 x 1 + 31

We consider the new divisor 757 and the new remainder 31,and apply the division lemma to get

757 = 31 x 24 + 13

We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get

31 = 13 x 2 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 2333 and 3878 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(757,31) = HCF(788,757) = HCF(1545,788) = HCF(2333,1545) = HCF(3878,2333) .

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Frequently Asked Questions on HCF of 2333, 3878 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 2333, 3878?

Answer: HCF of 2333, 3878 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2333, 3878 using Euclid's Algorithm?

Answer: For arbitrary numbers 2333, 3878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.