Highest Common Factor of 483, 183, 175 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 483, 183, 175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 483, 183, 175 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 483, 183, 175 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 483, 183, 175 is 1.

HCF(483, 183, 175) = 1

HCF of 483, 183, 175 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 483, 183, 175 is 1.

Highest Common Factor of 483,183,175 using Euclid's algorithm

Highest Common Factor of 483,183,175 is 1

Step 1: Since 483 > 183, we apply the division lemma to 483 and 183, to get

483 = 183 x 2 + 117

Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 117 and 183, to get

183 = 117 x 1 + 66

Step 3: We consider the new divisor 117 and the new remainder 66, and apply the division lemma to get

117 = 66 x 1 + 51

We consider the new divisor 66 and the new remainder 51,and apply the division lemma to get

66 = 51 x 1 + 15

We consider the new divisor 51 and the new remainder 15,and apply the division lemma to get

51 = 15 x 3 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 483 and 183 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(51,15) = HCF(66,51) = HCF(117,66) = HCF(183,117) = HCF(483,183) .

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

Step 1: Since 175 > 3, we apply the division lemma to 175 and 3, to get

175 = 3 x 58 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 175 is 1

Notice that 1 = HCF(3,1) = HCF(175,3) .

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Frequently Asked Questions on HCF of 483, 183, 175 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 483, 183, 175?

Answer: HCF of 483, 183, 175 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 483, 183, 175 using Euclid's Algorithm?

Answer: For arbitrary numbers 483, 183, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.