Highest Common Factor of 987, 5273, 2333 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 987, 5273, 2333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 987, 5273, 2333 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 987, 5273, 2333 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 987, 5273, 2333 is 1.

HCF(987, 5273, 2333) = 1

HCF of 987, 5273, 2333 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 987, 5273, 2333 is 1.

Highest Common Factor of 987,5273,2333 using Euclid's algorithm

Highest Common Factor of 987,5273,2333 is 1

Step 1: Since 5273 > 987, we apply the division lemma to 5273 and 987, to get

5273 = 987 x 5 + 338

Step 2: Since the reminder 987 ≠ 0, we apply division lemma to 338 and 987, to get

987 = 338 x 2 + 311

Step 3: We consider the new divisor 338 and the new remainder 311, and apply the division lemma to get

338 = 311 x 1 + 27

We consider the new divisor 311 and the new remainder 27,and apply the division lemma to get

311 = 27 x 11 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 987 and 5273 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(311,27) = HCF(338,311) = HCF(987,338) = HCF(5273,987) .

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

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

2333 = 1 x 2333 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2333 is 1

Notice that 1 = HCF(2333,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 987, 5273, 2333 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 987, 5273, 2333?

Answer: HCF of 987, 5273, 2333 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 987, 5273, 2333 using Euclid's Algorithm?

Answer: For arbitrary numbers 987, 5273, 2333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.