Highest Common Factor of 447, 721, 679 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 447, 721, 679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 447, 721, 679 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 447, 721, 679 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 447, 721, 679 is 1.

HCF(447, 721, 679) = 1

HCF of 447, 721, 679 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 447, 721, 679 is 1.

Highest Common Factor of 447,721,679 using Euclid's algorithm

Highest Common Factor of 447,721,679 is 1

Step 1: Since 721 > 447, we apply the division lemma to 721 and 447, to get

721 = 447 x 1 + 274

Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 274 and 447, to get

447 = 274 x 1 + 173

Step 3: We consider the new divisor 274 and the new remainder 173, and apply the division lemma to get

274 = 173 x 1 + 101

We consider the new divisor 173 and the new remainder 101,and apply the division lemma to get

173 = 101 x 1 + 72

We consider the new divisor 101 and the new remainder 72,and apply the division lemma to get

101 = 72 x 1 + 29

We consider the new divisor 72 and the new remainder 29,and apply the division lemma to get

72 = 29 x 2 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 447 and 721 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(72,29) = HCF(101,72) = HCF(173,101) = HCF(274,173) = HCF(447,274) = HCF(721,447) .

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

Step 1: Since 679 > 1, we apply the division lemma to 679 and 1, to get

679 = 1 x 679 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 679 is 1

Notice that 1 = HCF(679,1) .

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Frequently Asked Questions on HCF of 447, 721, 679 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 447, 721, 679?

Answer: HCF of 447, 721, 679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 447, 721, 679 using Euclid's Algorithm?

Answer: For arbitrary numbers 447, 721, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.