Highest Common Factor of 933, 367, 205, 355 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 933, 367, 205, 355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 933, 367, 205, 355 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 933, 367, 205, 355 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 933, 367, 205, 355 is 1.

HCF(933, 367, 205, 355) = 1

HCF of 933, 367, 205, 355 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 933, 367, 205, 355 is 1.

Highest Common Factor of 933,367,205,355 using Euclid's algorithm

Highest Common Factor of 933,367,205,355 is 1

Step 1: Since 933 > 367, we apply the division lemma to 933 and 367, to get

933 = 367 x 2 + 199

Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 199 and 367, to get

367 = 199 x 1 + 168

Step 3: We consider the new divisor 199 and the new remainder 168, and apply the division lemma to get

199 = 168 x 1 + 31

We consider the new divisor 168 and the new remainder 31,and apply the division lemma to get

168 = 31 x 5 + 13

We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get

31 = 13 x 2 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 933 and 367 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(168,31) = HCF(199,168) = HCF(367,199) = HCF(933,367) .

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

Step 1: Since 205 > 1, we apply the division lemma to 205 and 1, to get

205 = 1 x 205 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 205 is 1

Notice that 1 = HCF(205,1) .

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

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

355 = 1 x 355 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 355 is 1

Notice that 1 = HCF(355,1) .

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Frequently Asked Questions on HCF of 933, 367, 205, 355 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 933, 367, 205, 355?

Answer: HCF of 933, 367, 205, 355 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 933, 367, 205, 355 using Euclid's Algorithm?

Answer: For arbitrary numbers 933, 367, 205, 355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.