Highest Common Factor of 342, 596, 326 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 342, 596, 326 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 342, 596, 326 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 342, 596, 326 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 342, 596, 326 is 2.

HCF(342, 596, 326) = 2

HCF of 342, 596, 326 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 342, 596, 326 is 2.

Highest Common Factor of 342,596,326 using Euclid's algorithm

Highest Common Factor of 342,596,326 is 2

Step 1: Since 596 > 342, we apply the division lemma to 596 and 342, to get

596 = 342 x 1 + 254

Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 254 and 342, to get

342 = 254 x 1 + 88

Step 3: We consider the new divisor 254 and the new remainder 88, and apply the division lemma to get

254 = 88 x 2 + 78

We consider the new divisor 88 and the new remainder 78,and apply the division lemma to get

88 = 78 x 1 + 10

We consider the new divisor 78 and the new remainder 10,and apply the division lemma to get

78 = 10 x 7 + 8

We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get

10 = 8 x 1 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 342 and 596 is 2

Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(78,10) = HCF(88,78) = HCF(254,88) = HCF(342,254) = HCF(596,342) .

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

Step 1: Since 326 > 2, we apply the division lemma to 326 and 2, to get

326 = 2 x 163 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 326 is 2

Notice that 2 = HCF(326,2) .

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Frequently Asked Questions on HCF of 342, 596, 326 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 342, 596, 326?

Answer: HCF of 342, 596, 326 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 342, 596, 326 using Euclid's Algorithm?

Answer: For arbitrary numbers 342, 596, 326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.