Highest Common Factor of 346, 330, 358 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 346, 330, 358 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 346, 330, 358 is 2 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 346, 330, 358 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 346, 330, 358 is 2.

HCF(346, 330, 358) = 2

HCF of 346, 330, 358 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 346, 330, 358 is 2.

Highest Common Factor of 346,330,358 using Euclid's algorithm

Highest Common Factor of 346,330,358 is 2

Step 1: Since 346 > 330, we apply the division lemma to 346 and 330, to get

346 = 330 x 1 + 16

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 16 and 330, to get

330 = 16 x 20 + 10

Step 3: We consider the new divisor 16 and the new remainder 10, and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 346 and 330 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(330,16) = HCF(346,330) .

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

Step 1: Since 358 > 2, we apply the division lemma to 358 and 2, to get

358 = 2 x 179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 358 is 2

Notice that 2 = HCF(358,2) .

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Frequently Asked Questions on HCF of 346, 330, 358 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 346, 330, 358?

Answer: HCF of 346, 330, 358 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 346, 330, 358 using Euclid's Algorithm?

Answer: For arbitrary numbers 346, 330, 358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.