Highest Common Factor of 299, 239 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 299, 239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 299, 239 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 299, 239 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 299, 239 is 1.

HCF(299, 239) = 1

HCF of 299, 239 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 299, 239 is 1.

Highest Common Factor of 299,239 using Euclid's algorithm

Highest Common Factor of 299,239 is 1

Step 1: Since 299 > 239, we apply the division lemma to 299 and 239, to get

299 = 239 x 1 + 60

Step 2: Since the reminder 239 ≠ 0, we apply division lemma to 60 and 239, to get

239 = 60 x 3 + 59

Step 3: We consider the new divisor 60 and the new remainder 59, and apply the division lemma to get

60 = 59 x 1 + 1

We consider the new divisor 59 and the new remainder 1, and apply the division lemma to get

59 = 1 x 59 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 299 and 239 is 1

Notice that 1 = HCF(59,1) = HCF(60,59) = HCF(239,60) = HCF(299,239) .

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Frequently Asked Questions on HCF of 299, 239 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 299, 239?

Answer: HCF of 299, 239 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 299, 239 using Euclid's Algorithm?

Answer: For arbitrary numbers 299, 239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.