Highest Common Factor of 995, 205, 24 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 995, 205, 24 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 995, 205, 24 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 995, 205, 24 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 995, 205, 24 is 1.

HCF(995, 205, 24) = 1

HCF of 995, 205, 24 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 995, 205, 24 is 1.

Highest Common Factor of 995,205,24 using Euclid's algorithm

Highest Common Factor of 995,205,24 is 1

Step 1: Since 995 > 205, we apply the division lemma to 995 and 205, to get

995 = 205 x 4 + 175

Step 2: Since the reminder 205 ≠ 0, we apply division lemma to 175 and 205, to get

205 = 175 x 1 + 30

Step 3: We consider the new divisor 175 and the new remainder 30, and apply the division lemma to get

175 = 30 x 5 + 25

We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get

30 = 25 x 1 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 995 and 205 is 5

Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(175,30) = HCF(205,175) = HCF(995,205) .

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

Step 1: Since 24 > 5, we apply the division lemma to 24 and 5, to get

24 = 5 x 4 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 24 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 995, 205, 24 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 995, 205, 24?

Answer: HCF of 995, 205, 24 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 995, 205, 24 using Euclid's Algorithm?

Answer: For arbitrary numbers 995, 205, 24 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.