Highest Common Factor of 451, 712, 481 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 451, 712, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 451, 712, 481 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 451, 712, 481 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 451, 712, 481 is 1.

HCF(451, 712, 481) = 1

HCF of 451, 712, 481 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 451, 712, 481 is 1.

Highest Common Factor of 451,712,481 using Euclid's algorithm

Highest Common Factor of 451,712,481 is 1

Step 1: Since 712 > 451, we apply the division lemma to 712 and 451, to get

712 = 451 x 1 + 261

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 261 and 451, to get

451 = 261 x 1 + 190

Step 3: We consider the new divisor 261 and the new remainder 190, and apply the division lemma to get

261 = 190 x 1 + 71

We consider the new divisor 190 and the new remainder 71,and apply the division lemma to get

190 = 71 x 2 + 48

We consider the new divisor 71 and the new remainder 48,and apply the division lemma to get

71 = 48 x 1 + 23

We consider the new divisor 48 and the new remainder 23,and apply the division lemma to get

48 = 23 x 2 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 451 and 712 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(48,23) = HCF(71,48) = HCF(190,71) = HCF(261,190) = HCF(451,261) = HCF(712,451) .

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

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

481 = 1 x 481 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 481 is 1

Notice that 1 = HCF(481,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 451, 712, 481 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 451, 712, 481?

Answer: HCF of 451, 712, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 451, 712, 481 using Euclid's Algorithm?

Answer: For arbitrary numbers 451, 712, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.