Highest Common Factor of 895, 30083 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 895, 30083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 895, 30083 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 895, 30083 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 895, 30083 is 1.

HCF(895, 30083) = 1

HCF of 895, 30083 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 895, 30083 is 1.

Highest Common Factor of 895,30083 using Euclid's algorithm

Highest Common Factor of 895,30083 is 1

Step 1: Since 30083 > 895, we apply the division lemma to 30083 and 895, to get

30083 = 895 x 33 + 548

Step 2: Since the reminder 895 ≠ 0, we apply division lemma to 548 and 895, to get

895 = 548 x 1 + 347

Step 3: We consider the new divisor 548 and the new remainder 347, and apply the division lemma to get

548 = 347 x 1 + 201

We consider the new divisor 347 and the new remainder 201,and apply the division lemma to get

347 = 201 x 1 + 146

We consider the new divisor 201 and the new remainder 146,and apply the division lemma to get

201 = 146 x 1 + 55

We consider the new divisor 146 and the new remainder 55,and apply the division lemma to get

146 = 55 x 2 + 36

We consider the new divisor 55 and the new remainder 36,and apply the division lemma to get

55 = 36 x 1 + 19

We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get

36 = 19 x 1 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 895 and 30083 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(55,36) = HCF(146,55) = HCF(201,146) = HCF(347,201) = HCF(548,347) = HCF(895,548) = HCF(30083,895) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 895, 30083 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 895, 30083?

Answer: HCF of 895, 30083 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 895, 30083 using Euclid's Algorithm?

Answer: For arbitrary numbers 895, 30083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.