Highest Common Factor of 368, 563, 359 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 368, 563, 359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 368, 563, 359 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 368, 563, 359 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 368, 563, 359 is 1.

HCF(368, 563, 359) = 1

HCF of 368, 563, 359 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 368, 563, 359 is 1.

Highest Common Factor of 368,563,359 using Euclid's algorithm

Highest Common Factor of 368,563,359 is 1

Step 1: Since 563 > 368, we apply the division lemma to 563 and 368, to get

563 = 368 x 1 + 195

Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 195 and 368, to get

368 = 195 x 1 + 173

Step 3: We consider the new divisor 195 and the new remainder 173, and apply the division lemma to get

195 = 173 x 1 + 22

We consider the new divisor 173 and the new remainder 22,and apply the division lemma to get

173 = 22 x 7 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 368 and 563 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(173,22) = HCF(195,173) = HCF(368,195) = HCF(563,368) .

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

Step 1: Since 359 > 1, we apply the division lemma to 359 and 1, to get

359 = 1 x 359 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 359 is 1

Notice that 1 = HCF(359,1) .

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Frequently Asked Questions on HCF of 368, 563, 359 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 368, 563, 359?

Answer: HCF of 368, 563, 359 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 368, 563, 359 using Euclid's Algorithm?

Answer: For arbitrary numbers 368, 563, 359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.