Highest Common Factor of 335, 189 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 335, 189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 335, 189 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 335, 189 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 335, 189 is 1.

HCF(335, 189) = 1

HCF of 335, 189 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 335, 189 is 1.

Highest Common Factor of 335,189 using Euclid's algorithm

Highest Common Factor of 335,189 is 1

Step 1: Since 335 > 189, we apply the division lemma to 335 and 189, to get

335 = 189 x 1 + 146

Step 2: Since the reminder 189 ≠ 0, we apply division lemma to 146 and 189, to get

189 = 146 x 1 + 43

Step 3: We consider the new divisor 146 and the new remainder 43, and apply the division lemma to get

146 = 43 x 3 + 17

We consider the new divisor 43 and the new remainder 17,and apply the division lemma to get

43 = 17 x 2 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 335 and 189 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(43,17) = HCF(146,43) = HCF(189,146) = HCF(335,189) .

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Frequently Asked Questions on HCF of 335, 189 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 335, 189?

Answer: HCF of 335, 189 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 335, 189 using Euclid's Algorithm?

Answer: For arbitrary numbers 335, 189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.