Highest Common Factor of 355, 563, 390 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, 563, 390 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 355, 563, 390 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, 563, 390 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, 563, 390 is 1.

HCF(355, 563, 390) = 1

HCF of 355, 563, 390 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, 563, 390 is 1.

Highest Common Factor of 355,563,390 using Euclid's algorithm

Highest Common Factor of 355,563,390 is 1

Step 1: Since 563 > 355, we apply the division lemma to 563 and 355, to get

563 = 355 x 1 + 208

Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 208 and 355, to get

355 = 208 x 1 + 147

Step 3: We consider the new divisor 208 and the new remainder 147, and apply the division lemma to get

208 = 147 x 1 + 61

We consider the new divisor 147 and the new remainder 61,and apply the division lemma to get

147 = 61 x 2 + 25

We consider the new divisor 61 and the new remainder 25,and apply the division lemma to get

61 = 25 x 2 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 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 563 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(61,25) = HCF(147,61) = HCF(208,147) = HCF(355,208) = HCF(563,355) .

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

Step 1: Since 390 > 1, we apply the division lemma to 390 and 1, to get

390 = 1 x 390 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 390 is 1

Notice that 1 = HCF(390,1) .

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Frequently Asked Questions on HCF of 355, 563, 390 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, 563, 390?

Answer: HCF of 355, 563, 390 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 355, 563, 390 using Euclid's Algorithm?

Answer: For arbitrary numbers 355, 563, 390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.