Highest Common Factor of 181, 132, 484, 351 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 181, 132, 484, 351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 181, 132, 484, 351 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 181, 132, 484, 351 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 181, 132, 484, 351 is 1.

HCF(181, 132, 484, 351) = 1

HCF of 181, 132, 484, 351 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 181, 132, 484, 351 is 1.

Highest Common Factor of 181,132,484,351 using Euclid's algorithm

Highest Common Factor of 181,132,484,351 is 1

Step 1: Since 181 > 132, we apply the division lemma to 181 and 132, to get

181 = 132 x 1 + 49

Step 2: Since the reminder 132 ≠ 0, we apply division lemma to 49 and 132, to get

132 = 49 x 2 + 34

Step 3: We consider the new divisor 49 and the new remainder 34, and apply the division lemma to get

49 = 34 x 1 + 15

We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get

34 = 15 x 2 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 181 and 132 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(49,34) = HCF(132,49) = HCF(181,132) .

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

Step 1: Since 484 > 1, we apply the division lemma to 484 and 1, to get

484 = 1 x 484 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 484 is 1

Notice that 1 = HCF(484,1) .

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

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

351 = 1 x 351 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 351 is 1

Notice that 1 = HCF(351,1) .

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Frequently Asked Questions on HCF of 181, 132, 484, 351 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 181, 132, 484, 351?

Answer: HCF of 181, 132, 484, 351 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 181, 132, 484, 351 using Euclid's Algorithm?

Answer: For arbitrary numbers 181, 132, 484, 351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.