Highest Common Factor of 494, 339 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 494, 339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 494, 339 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 494, 339 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 494, 339 is 1.

HCF(494, 339) = 1

HCF of 494, 339 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 494, 339 is 1.

Highest Common Factor of 494,339 using Euclid's algorithm

Highest Common Factor of 494,339 is 1

Step 1: Since 494 > 339, we apply the division lemma to 494 and 339, to get

494 = 339 x 1 + 155

Step 2: Since the reminder 339 ≠ 0, we apply division lemma to 155 and 339, to get

339 = 155 x 2 + 29

Step 3: We consider the new divisor 155 and the new remainder 29, and apply the division lemma to get

155 = 29 x 5 + 10

We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get

29 = 10 x 2 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 494 and 339 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(155,29) = HCF(339,155) = HCF(494,339) .

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Frequently Asked Questions on HCF of 494, 339 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 494, 339?

Answer: HCF of 494, 339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 494, 339 using Euclid's Algorithm?

Answer: For arbitrary numbers 494, 339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.