Highest Common Factor of 722, 451, 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 722, 451, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 722, 451, 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 722, 451, 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 722, 451, 481 is 1.

HCF(722, 451, 481) = 1

HCF of 722, 451, 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 722, 451, 481 is 1.

Highest Common Factor of 722,451,481 using Euclid's algorithm

Highest Common Factor of 722,451,481 is 1

Step 1: Since 722 > 451, we apply the division lemma to 722 and 451, to get

722 = 451 x 1 + 271

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 271 and 451, to get

451 = 271 x 1 + 180

Step 3: We consider the new divisor 271 and the new remainder 180, and apply the division lemma to get

271 = 180 x 1 + 91

We consider the new divisor 180 and the new remainder 91,and apply the division lemma to get

180 = 91 x 1 + 89

We consider the new divisor 91 and the new remainder 89,and apply the division lemma to get

91 = 89 x 1 + 2

We consider the new divisor 89 and the new remainder 2,and apply the division lemma to get

89 = 2 x 44 + 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 722 and 451 is 1

Notice that 1 = HCF(2,1) = HCF(89,2) = HCF(91,89) = HCF(180,91) = HCF(271,180) = HCF(451,271) = HCF(722,451) .

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) .

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Frequently Asked Questions on HCF of 722, 451, 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 722, 451, 481?

Answer: HCF of 722, 451, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 722, 451, 481 using Euclid's Algorithm?

Answer: For arbitrary numbers 722, 451, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.