Highest Common Factor of 349, 607, 405 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, 607, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 349, 607, 405 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, 607, 405 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, 607, 405 is 1.

HCF(349, 607, 405) = 1

HCF of 349, 607, 405 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, 607, 405 is 1.

Highest Common Factor of 349,607,405 using Euclid's algorithm

Highest Common Factor of 349,607,405 is 1

Step 1: Since 607 > 349, we apply the division lemma to 607 and 349, to get

607 = 349 x 1 + 258

Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 258 and 349, to get

349 = 258 x 1 + 91

Step 3: We consider the new divisor 258 and the new remainder 91, and apply the division lemma to get

258 = 91 x 2 + 76

We consider the new divisor 91 and the new remainder 76,and apply the division lemma to get

91 = 76 x 1 + 15

We consider the new divisor 76 and the new remainder 15,and apply the division lemma to get

76 = 15 x 5 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 607 is 1

Notice that 1 = HCF(15,1) = HCF(76,15) = HCF(91,76) = HCF(258,91) = HCF(349,258) = HCF(607,349) .

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

Step 1: Since 405 > 1, we apply the division lemma to 405 and 1, to get

405 = 1 x 405 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 405 is 1

Notice that 1 = HCF(405,1) .

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Frequently Asked Questions on HCF of 349, 607, 405 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, 607, 405?

Answer: HCF of 349, 607, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 349, 607, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 349, 607, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.