Highest Common Factor of 889, 1199 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 889, 1199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 1199 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 889, 1199 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 889, 1199 is 1.

HCF(889, 1199) = 1

HCF of 889, 1199 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 889, 1199 is 1.

Highest Common Factor of 889,1199 using Euclid's algorithm

Highest Common Factor of 889,1199 is 1

Step 1: Since 1199 > 889, we apply the division lemma to 1199 and 889, to get

1199 = 889 x 1 + 310

Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 310 and 889, to get

889 = 310 x 2 + 269

Step 3: We consider the new divisor 310 and the new remainder 269, and apply the division lemma to get

310 = 269 x 1 + 41

We consider the new divisor 269 and the new remainder 41,and apply the division lemma to get

269 = 41 x 6 + 23

We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get

41 = 23 x 1 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 889 and 1199 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(269,41) = HCF(310,269) = HCF(889,310) = HCF(1199,889) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 889, 1199 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 889, 1199?

Answer: HCF of 889, 1199 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 1199 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 1199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.