Highest Common Factor of 759, 2549, 9994 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 759, 2549, 9994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 759, 2549, 9994 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 759, 2549, 9994 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 759, 2549, 9994 is 1.

HCF(759, 2549, 9994) = 1

HCF of 759, 2549, 9994 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 759, 2549, 9994 is 1.

Highest Common Factor of 759,2549,9994 using Euclid's algorithm

Highest Common Factor of 759,2549,9994 is 1

Step 1: Since 2549 > 759, we apply the division lemma to 2549 and 759, to get

2549 = 759 x 3 + 272

Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 272 and 759, to get

759 = 272 x 2 + 215

Step 3: We consider the new divisor 272 and the new remainder 215, and apply the division lemma to get

272 = 215 x 1 + 57

We consider the new divisor 215 and the new remainder 57,and apply the division lemma to get

215 = 57 x 3 + 44

We consider the new divisor 57 and the new remainder 44,and apply the division lemma to get

57 = 44 x 1 + 13

We consider the new divisor 44 and the new remainder 13,and apply the division lemma to get

44 = 13 x 3 + 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 759 and 2549 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(57,44) = HCF(215,57) = HCF(272,215) = HCF(759,272) = HCF(2549,759) .

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

Step 1: Since 9994 > 1, we apply the division lemma to 9994 and 1, to get

9994 = 1 x 9994 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9994 is 1

Notice that 1 = HCF(9994,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 759, 2549, 9994 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 759, 2549, 9994?

Answer: HCF of 759, 2549, 9994 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 759, 2549, 9994 using Euclid's Algorithm?

Answer: For arbitrary numbers 759, 2549, 9994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.