Highest Common Factor of 560, 805, 447 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 560, 805, 447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 560, 805, 447 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 560, 805, 447 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 560, 805, 447 is 1.

HCF(560, 805, 447) = 1

HCF of 560, 805, 447 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 560, 805, 447 is 1.

Highest Common Factor of 560,805,447 using Euclid's algorithm

Highest Common Factor of 560,805,447 is 1

Step 1: Since 805 > 560, we apply the division lemma to 805 and 560, to get

805 = 560 x 1 + 245

Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 245 and 560, to get

560 = 245 x 2 + 70

Step 3: We consider the new divisor 245 and the new remainder 70, and apply the division lemma to get

245 = 70 x 3 + 35

We consider the new divisor 70 and the new remainder 35, and apply the division lemma to get

70 = 35 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 560 and 805 is 35

Notice that 35 = HCF(70,35) = HCF(245,70) = HCF(560,245) = HCF(805,560) .

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

Step 1: Since 447 > 35, we apply the division lemma to 447 and 35, to get

447 = 35 x 12 + 27

Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 27 and 35, to get

35 = 27 x 1 + 8

Step 3: We consider the new divisor 27 and the new remainder 8, and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 35 and 447 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(447,35) .

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Frequently Asked Questions on HCF of 560, 805, 447 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 560, 805, 447?

Answer: HCF of 560, 805, 447 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 560, 805, 447 using Euclid's Algorithm?

Answer: For arbitrary numbers 560, 805, 447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.