# Highest Common Factor of 480, 795, 320, 50 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 480, 795, 320, 50 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 480, 795, 320, 50 is 5 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 480, 795, 320, 50 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 480, 795, 320, 50 is 5.

HCF(480, 795, 320, 50) = 5

## HCF of 480, 795, 320, 50 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 480, 795, 320, 50 is 5. ### Highest Common Factor of 480,795,320,50 is 5

Step 1: Since 795 > 480, we apply the division lemma to 795 and 480, to get

795 = 480 x 1 + 315

Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 315 and 480, to get

480 = 315 x 1 + 165

Step 3: We consider the new divisor 315 and the new remainder 165, and apply the division lemma to get

315 = 165 x 1 + 150

We consider the new divisor 165 and the new remainder 150,and apply the division lemma to get

165 = 150 x 1 + 15

We consider the new divisor 150 and the new remainder 15,and apply the division lemma to get

150 = 15 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 480 and 795 is 15

Notice that 15 = HCF(150,15) = HCF(165,150) = HCF(315,165) = HCF(480,315) = HCF(795,480) .

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

Step 1: Since 320 > 15, we apply the division lemma to 320 and 15, to get

320 = 15 x 21 + 5

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 5 and 15, to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 15 and 320 is 5

Notice that 5 = HCF(15,5) = HCF(320,15) .

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

Step 1: Since 50 > 5, we apply the division lemma to 50 and 5, to get

50 = 5 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 50 is 5

Notice that 5 = HCF(50,5) .

### HCF using Euclid's Algorithm Calculation Examples

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

### Frequently Asked Questions on HCF of 480, 795, 320, 50 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 480, 795, 320, 50?

Answer: HCF of 480, 795, 320, 50 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 480, 795, 320, 50 using Euclid's Algorithm?

Answer: For arbitrary numbers 480, 795, 320, 50 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.