Highest Common Factor of 933, 738, 176 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, 738, 176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 933, 738, 176 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, 738, 176 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, 738, 176 is 1.

HCF(933, 738, 176) = 1

HCF of 933, 738, 176 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, 738, 176 is 1.

Highest Common Factor of 933,738,176 using Euclid's algorithm

Highest Common Factor of 933,738,176 is 1

Step 1: Since 933 > 738, we apply the division lemma to 933 and 738, to get

933 = 738 x 1 + 195

Step 2: Since the reminder 738 ≠ 0, we apply division lemma to 195 and 738, to get

738 = 195 x 3 + 153

Step 3: We consider the new divisor 195 and the new remainder 153, and apply the division lemma to get

195 = 153 x 1 + 42

We consider the new divisor 153 and the new remainder 42,and apply the division lemma to get

153 = 42 x 3 + 27

We consider the new divisor 42 and the new remainder 27,and apply the division lemma to get

42 = 27 x 1 + 15

We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get

27 = 15 x 1 + 12

We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get

15 = 12 x 1 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 933 and 738 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(42,27) = HCF(153,42) = HCF(195,153) = HCF(738,195) = HCF(933,738) .

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

Step 1: Since 176 > 3, we apply the division lemma to 176 and 3, to get

176 = 3 x 58 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 176 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(176,3) .

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Frequently Asked Questions on HCF of 933, 738, 176 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, 738, 176?

Answer: HCF of 933, 738, 176 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 933, 738, 176 using Euclid's Algorithm?

Answer: For arbitrary numbers 933, 738, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.