Highest Common Factor of 610, 944, 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 610, 944, 447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 610, 944, 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 610, 944, 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 610, 944, 447 is 1.

HCF(610, 944, 447) = 1

HCF of 610, 944, 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 610, 944, 447 is 1.

Highest Common Factor of 610,944,447 using Euclid's algorithm

Highest Common Factor of 610,944,447 is 1

Step 1: Since 944 > 610, we apply the division lemma to 944 and 610, to get

944 = 610 x 1 + 334

Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 334 and 610, to get

610 = 334 x 1 + 276

Step 3: We consider the new divisor 334 and the new remainder 276, and apply the division lemma to get

334 = 276 x 1 + 58

We consider the new divisor 276 and the new remainder 58,and apply the division lemma to get

276 = 58 x 4 + 44

We consider the new divisor 58 and the new remainder 44,and apply the division lemma to get

58 = 44 x 1 + 14

We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get

44 = 14 x 3 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 610 and 944 is 2

Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(58,44) = HCF(276,58) = HCF(334,276) = HCF(610,334) = HCF(944,610) .

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

Step 1: Since 447 > 2, we apply the division lemma to 447 and 2, to get

447 = 2 x 223 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 447 is 1

Notice that 1 = HCF(2,1) = HCF(447,2) .

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Frequently Asked Questions on HCF of 610, 944, 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 610, 944, 447?

Answer: HCF of 610, 944, 447 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 610, 944, 447 using Euclid's Algorithm?

Answer: For arbitrary numbers 610, 944, 447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.