Highest Common Factor of 571, 939, 319 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 571, 939, 319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 571, 939, 319 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 571, 939, 319 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 571, 939, 319 is 1.

HCF(571, 939, 319) = 1

HCF of 571, 939, 319 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 571, 939, 319 is 1.

Highest Common Factor of 571,939,319 using Euclid's algorithm

Highest Common Factor of 571,939,319 is 1

Step 1: Since 939 > 571, we apply the division lemma to 939 and 571, to get

939 = 571 x 1 + 368

Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 368 and 571, to get

571 = 368 x 1 + 203

Step 3: We consider the new divisor 368 and the new remainder 203, and apply the division lemma to get

368 = 203 x 1 + 165

We consider the new divisor 203 and the new remainder 165,and apply the division lemma to get

203 = 165 x 1 + 38

We consider the new divisor 165 and the new remainder 38,and apply the division lemma to get

165 = 38 x 4 + 13

We consider the new divisor 38 and the new remainder 13,and apply the division lemma to get

38 = 13 x 2 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 939 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(165,38) = HCF(203,165) = HCF(368,203) = HCF(571,368) = HCF(939,571) .

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

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

319 = 1 x 319 + 0

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

Notice that 1 = HCF(319,1) .

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Frequently Asked Questions on HCF of 571, 939, 319 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 571, 939, 319?

Answer: HCF of 571, 939, 319 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 571, 939, 319 using Euclid's Algorithm?

Answer: For arbitrary numbers 571, 939, 319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.