Highest Common Factor of 514, 843, 58 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 514, 843, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 514, 843, 58 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 514, 843, 58 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 514, 843, 58 is 1.

HCF(514, 843, 58) = 1

HCF of 514, 843, 58 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 514, 843, 58 is 1.

Highest Common Factor of 514,843,58 using Euclid's algorithm

Highest Common Factor of 514,843,58 is 1

Step 1: Since 843 > 514, we apply the division lemma to 843 and 514, to get

843 = 514 x 1 + 329

Step 2: Since the reminder 514 ≠ 0, we apply division lemma to 329 and 514, to get

514 = 329 x 1 + 185

Step 3: We consider the new divisor 329 and the new remainder 185, and apply the division lemma to get

329 = 185 x 1 + 144

We consider the new divisor 185 and the new remainder 144,and apply the division lemma to get

185 = 144 x 1 + 41

We consider the new divisor 144 and the new remainder 41,and apply the division lemma to get

144 = 41 x 3 + 21

We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get

41 = 21 x 1 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 514 and 843 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(144,41) = HCF(185,144) = HCF(329,185) = HCF(514,329) = HCF(843,514) .

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

Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get

58 = 1 x 58 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1

Notice that 1 = HCF(58,1) .

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Frequently Asked Questions on HCF of 514, 843, 58 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 514, 843, 58?

Answer: HCF of 514, 843, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 514, 843, 58 using Euclid's Algorithm?

Answer: For arbitrary numbers 514, 843, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.