Highest Common Factor of 481, 792, 247 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 481, 792, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 792, 247 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 481, 792, 247 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 481, 792, 247 is 1.

HCF(481, 792, 247) = 1

HCF of 481, 792, 247 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 481, 792, 247 is 1.

Highest Common Factor of 481,792,247 using Euclid's algorithm

Highest Common Factor of 481,792,247 is 1

Step 1: Since 792 > 481, we apply the division lemma to 792 and 481, to get

792 = 481 x 1 + 311

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 311 and 481, to get

481 = 311 x 1 + 170

Step 3: We consider the new divisor 311 and the new remainder 170, and apply the division lemma to get

311 = 170 x 1 + 141

We consider the new divisor 170 and the new remainder 141,and apply the division lemma to get

170 = 141 x 1 + 29

We consider the new divisor 141 and the new remainder 29,and apply the division lemma to get

141 = 29 x 4 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 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 481 and 792 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(141,29) = HCF(170,141) = HCF(311,170) = HCF(481,311) = HCF(792,481) .

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

Step 1: Since 247 > 1, we apply the division lemma to 247 and 1, to get

247 = 1 x 247 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 247 is 1

Notice that 1 = HCF(247,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 481, 792, 247 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 481, 792, 247?

Answer: HCF of 481, 792, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 792, 247 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 792, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.