Highest Common Factor of 1106, 5093, 49407 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 1106, 5093, 49407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1106, 5093, 49407 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 1106, 5093, 49407 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 1106, 5093, 49407 is 1.

HCF(1106, 5093, 49407) = 1

HCF of 1106, 5093, 49407 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 1106, 5093, 49407 is 1.

Highest Common Factor of 1106,5093,49407 using Euclid's algorithm

Highest Common Factor of 1106,5093,49407 is 1

Step 1: Since 5093 > 1106, we apply the division lemma to 5093 and 1106, to get

5093 = 1106 x 4 + 669

Step 2: Since the reminder 1106 ≠ 0, we apply division lemma to 669 and 1106, to get

1106 = 669 x 1 + 437

Step 3: We consider the new divisor 669 and the new remainder 437, and apply the division lemma to get

669 = 437 x 1 + 232

We consider the new divisor 437 and the new remainder 232,and apply the division lemma to get

437 = 232 x 1 + 205

We consider the new divisor 232 and the new remainder 205,and apply the division lemma to get

232 = 205 x 1 + 27

We consider the new divisor 205 and the new remainder 27,and apply the division lemma to get

205 = 27 x 7 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1106 and 5093 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(205,27) = HCF(232,205) = HCF(437,232) = HCF(669,437) = HCF(1106,669) = HCF(5093,1106) .

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

Step 1: Since 49407 > 1, we apply the division lemma to 49407 and 1, to get

49407 = 1 x 49407 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49407 is 1

Notice that 1 = HCF(49407,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1106, 5093, 49407 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 1106, 5093, 49407?

Answer: HCF of 1106, 5093, 49407 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1106, 5093, 49407 using Euclid's Algorithm?

Answer: For arbitrary numbers 1106, 5093, 49407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.