Highest Common Factor of 7849, 5993 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 7849, 5993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7849, 5993 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 7849, 5993 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 7849, 5993 is 1.

HCF(7849, 5993) = 1

HCF of 7849, 5993 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 7849, 5993 is 1.

Highest Common Factor of 7849,5993 using Euclid's algorithm

Highest Common Factor of 7849,5993 is 1

Step 1: Since 7849 > 5993, we apply the division lemma to 7849 and 5993, to get

7849 = 5993 x 1 + 1856

Step 2: Since the reminder 5993 ≠ 0, we apply division lemma to 1856 and 5993, to get

5993 = 1856 x 3 + 425

Step 3: We consider the new divisor 1856 and the new remainder 425, and apply the division lemma to get

1856 = 425 x 4 + 156

We consider the new divisor 425 and the new remainder 156,and apply the division lemma to get

425 = 156 x 2 + 113

We consider the new divisor 156 and the new remainder 113,and apply the division lemma to get

156 = 113 x 1 + 43

We consider the new divisor 113 and the new remainder 43,and apply the division lemma to get

113 = 43 x 2 + 27

We consider the new divisor 43 and the new remainder 27,and apply the division lemma to get

43 = 27 x 1 + 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 7849 and 5993 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(43,27) = HCF(113,43) = HCF(156,113) = HCF(425,156) = HCF(1856,425) = HCF(5993,1856) = HCF(7849,5993) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7849, 5993 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 7849, 5993?

Answer: HCF of 7849, 5993 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7849, 5993 using Euclid's Algorithm?

Answer: For arbitrary numbers 7849, 5993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.