Highest Common Factor of 368, 483, 170 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, 483, 170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 368, 483, 170 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, 483, 170 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, 483, 170 is 1.

HCF(368, 483, 170) = 1

HCF of 368, 483, 170 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, 483, 170 is 1.

Highest Common Factor of 368,483,170 using Euclid's algorithm

Highest Common Factor of 368,483,170 is 1

Step 1: Since 483 > 368, we apply the division lemma to 483 and 368, to get

483 = 368 x 1 + 115

Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 115 and 368, to get

368 = 115 x 3 + 23

Step 3: We consider the new divisor 115 and the new remainder 23, and apply the division lemma to get

115 = 23 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 368 and 483 is 23

Notice that 23 = HCF(115,23) = HCF(368,115) = HCF(483,368) .

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

Step 1: Since 170 > 23, we apply the division lemma to 170 and 23, to get

170 = 23 x 7 + 9

Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 9 and 23, to get

23 = 9 x 2 + 5

Step 3: We consider the new divisor 9 and the new remainder 5, and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 23 and 170 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(170,23) .

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Frequently Asked Questions on HCF of 368, 483, 170 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, 483, 170?

Answer: HCF of 368, 483, 170 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 368, 483, 170 using Euclid's Algorithm?

Answer: For arbitrary numbers 368, 483, 170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.