Highest Common Factor of 349, 5838, 5339 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 349, 5838, 5339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 349, 5838, 5339 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 349, 5838, 5339 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 349, 5838, 5339 is 1.

HCF(349, 5838, 5339) = 1

HCF of 349, 5838, 5339 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 349, 5838, 5339 is 1.

Highest Common Factor of 349,5838,5339 using Euclid's algorithm

Highest Common Factor of 349,5838,5339 is 1

Step 1: Since 5838 > 349, we apply the division lemma to 5838 and 349, to get

5838 = 349 x 16 + 254

Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 254 and 349, to get

349 = 254 x 1 + 95

Step 3: We consider the new divisor 254 and the new remainder 95, and apply the division lemma to get

254 = 95 x 2 + 64

We consider the new divisor 95 and the new remainder 64,and apply the division lemma to get

95 = 64 x 1 + 31

We consider the new divisor 64 and the new remainder 31,and apply the division lemma to get

64 = 31 x 2 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 5838 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(64,31) = HCF(95,64) = HCF(254,95) = HCF(349,254) = HCF(5838,349) .

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

Step 1: Since 5339 > 1, we apply the division lemma to 5339 and 1, to get

5339 = 1 x 5339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5339 is 1

Notice that 1 = HCF(5339,1) .

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Frequently Asked Questions on HCF of 349, 5838, 5339 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 349, 5838, 5339?

Answer: HCF of 349, 5838, 5339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 349, 5838, 5339 using Euclid's Algorithm?

Answer: For arbitrary numbers 349, 5838, 5339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.