Highest Common Factor of 319, 571, 41 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 319, 571, 41 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 319, 571, 41 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 319, 571, 41 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 319, 571, 41 is 1.

HCF(319, 571, 41) = 1

HCF of 319, 571, 41 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 319, 571, 41 is 1.

Highest Common Factor of 319,571,41 using Euclid's algorithm

Highest Common Factor of 319,571,41 is 1

Step 1: Since 571 > 319, we apply the division lemma to 571 and 319, to get

571 = 319 x 1 + 252

Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 252 and 319, to get

319 = 252 x 1 + 67

Step 3: We consider the new divisor 252 and the new remainder 67, and apply the division lemma to get

252 = 67 x 3 + 51

We consider the new divisor 67 and the new remainder 51,and apply the division lemma to get

67 = 51 x 1 + 16

We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get

51 = 16 x 3 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 319 and 571 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(67,51) = HCF(252,67) = HCF(319,252) = HCF(571,319) .

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

Step 1: Since 41 > 1, we apply the division lemma to 41 and 1, to get

41 = 1 x 41 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41 is 1

Notice that 1 = HCF(41,1) .

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Frequently Asked Questions on HCF of 319, 571, 41 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 319, 571, 41?

Answer: HCF of 319, 571, 41 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 319, 571, 41 using Euclid's Algorithm?

Answer: For arbitrary numbers 319, 571, 41 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.