Highest Common Factor of 288, 800, 379 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 288, 800, 379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 288, 800, 379 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 288, 800, 379 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 288, 800, 379 is 1.

HCF(288, 800, 379) = 1

HCF of 288, 800, 379 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 288, 800, 379 is 1.

Highest Common Factor of 288,800,379 using Euclid's algorithm

Highest Common Factor of 288,800,379 is 1

Step 1: Since 800 > 288, we apply the division lemma to 800 and 288, to get

800 = 288 x 2 + 224

Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 224 and 288, to get

288 = 224 x 1 + 64

Step 3: We consider the new divisor 224 and the new remainder 64, and apply the division lemma to get

224 = 64 x 3 + 32

We consider the new divisor 64 and the new remainder 32, and apply the division lemma to get

64 = 32 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 288 and 800 is 32

Notice that 32 = HCF(64,32) = HCF(224,64) = HCF(288,224) = HCF(800,288) .

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

Step 1: Since 379 > 32, we apply the division lemma to 379 and 32, to get

379 = 32 x 11 + 27

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 27 and 32, to get

32 = 27 x 1 + 5

Step 3: We consider the new divisor 27 and the new remainder 5, and apply the division lemma to get

27 = 5 x 5 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 32 and 379 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(379,32) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 288, 800, 379 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 288, 800, 379?

Answer: HCF of 288, 800, 379 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 288, 800, 379 using Euclid's Algorithm?

Answer: For arbitrary numbers 288, 800, 379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.