Highest Common Factor of 351, 537, 442 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 351, 537, 442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 351, 537, 442 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 351, 537, 442 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 351, 537, 442 is 1.

HCF(351, 537, 442) = 1

HCF of 351, 537, 442 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 351, 537, 442 is 1.

Highest Common Factor of 351,537,442 using Euclid's algorithm

Highest Common Factor of 351,537,442 is 1

Step 1: Since 537 > 351, we apply the division lemma to 537 and 351, to get

537 = 351 x 1 + 186

Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 186 and 351, to get

351 = 186 x 1 + 165

Step 3: We consider the new divisor 186 and the new remainder 165, and apply the division lemma to get

186 = 165 x 1 + 21

We consider the new divisor 165 and the new remainder 21,and apply the division lemma to get

165 = 21 x 7 + 18

We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get

21 = 18 x 1 + 3

We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get

18 = 3 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 351 and 537 is 3

Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(165,21) = HCF(186,165) = HCF(351,186) = HCF(537,351) .

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

Step 1: Since 442 > 3, we apply the division lemma to 442 and 3, to get

442 = 3 x 147 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 442 is 1

Notice that 1 = HCF(3,1) = HCF(442,3) .

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Frequently Asked Questions on HCF of 351, 537, 442 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 351, 537, 442?

Answer: HCF of 351, 537, 442 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 351, 537, 442 using Euclid's Algorithm?

Answer: For arbitrary numbers 351, 537, 442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.