Highest Common Factor of 320, 930, 463 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 320, 930, 463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 320, 930, 463 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 320, 930, 463 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 320, 930, 463 is 1.

HCF(320, 930, 463) = 1

HCF of 320, 930, 463 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 320, 930, 463 is 1.

Highest Common Factor of 320,930,463 using Euclid's algorithm

Highest Common Factor of 320,930,463 is 1

Step 1: Since 930 > 320, we apply the division lemma to 930 and 320, to get

930 = 320 x 2 + 290

Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 290 and 320, to get

320 = 290 x 1 + 30

Step 3: We consider the new divisor 290 and the new remainder 30, and apply the division lemma to get

290 = 30 x 9 + 20

We consider the new divisor 30 and the new remainder 20,and apply the division lemma to get

30 = 20 x 1 + 10

We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get

20 = 10 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 320 and 930 is 10

Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(290,30) = HCF(320,290) = HCF(930,320) .

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

Step 1: Since 463 > 10, we apply the division lemma to 463 and 10, to get

463 = 10 x 46 + 3

Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 3 and 10, to get

10 = 3 x 3 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 463 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(463,10) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 320, 930, 463 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 320, 930, 463?

Answer: HCF of 320, 930, 463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 320, 930, 463 using Euclid's Algorithm?

Answer: For arbitrary numbers 320, 930, 463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.