Highest Common Factor of 355, 587, 819 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 355, 587, 819 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 355, 587, 819 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 355, 587, 819 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 355, 587, 819 is 1.

HCF(355, 587, 819) = 1

HCF of 355, 587, 819 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 355, 587, 819 is 1.

Highest Common Factor of 355,587,819 using Euclid's algorithm

Highest Common Factor of 355,587,819 is 1

Step 1: Since 587 > 355, we apply the division lemma to 587 and 355, to get

587 = 355 x 1 + 232

Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 232 and 355, to get

355 = 232 x 1 + 123

Step 3: We consider the new divisor 232 and the new remainder 123, and apply the division lemma to get

232 = 123 x 1 + 109

We consider the new divisor 123 and the new remainder 109,and apply the division lemma to get

123 = 109 x 1 + 14

We consider the new divisor 109 and the new remainder 14,and apply the division lemma to get

109 = 14 x 7 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 355 and 587 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(109,14) = HCF(123,109) = HCF(232,123) = HCF(355,232) = HCF(587,355) .

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

Step 1: Since 819 > 1, we apply the division lemma to 819 and 1, to get

819 = 1 x 819 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 819 is 1

Notice that 1 = HCF(819,1) .

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Frequently Asked Questions on HCF of 355, 587, 819 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 355, 587, 819?

Answer: HCF of 355, 587, 819 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 355, 587, 819 using Euclid's Algorithm?

Answer: For arbitrary numbers 355, 587, 819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.