Highest Common Factor of 330, 440, 43 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 330, 440, 43 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 330, 440, 43 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 330, 440, 43 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 330, 440, 43 is 1.

HCF(330, 440, 43) = 1

HCF of 330, 440, 43 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 330, 440, 43 is 1.

Highest Common Factor of 330,440,43 using Euclid's algorithm

Highest Common Factor of 330,440,43 is 1

Step 1: Since 440 > 330, we apply the division lemma to 440 and 330, to get

440 = 330 x 1 + 110

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 110 and 330, to get

330 = 110 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 110, the HCF of 330 and 440 is 110

Notice that 110 = HCF(330,110) = HCF(440,330) .

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

Step 1: Since 110 > 43, we apply the division lemma to 110 and 43, to get

110 = 43 x 2 + 24

Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 24 and 43, to get

43 = 24 x 1 + 19

Step 3: We consider the new divisor 24 and the new remainder 19, and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

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 110 and 43 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(110,43) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 330, 440, 43 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 330, 440, 43?

Answer: HCF of 330, 440, 43 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 330, 440, 43 using Euclid's Algorithm?

Answer: For arbitrary numbers 330, 440, 43 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.