Highest Common Factor of 2418, 1107, 33991 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 2418, 1107, 33991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2418, 1107, 33991 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 2418, 1107, 33991 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 2418, 1107, 33991 is 1.

HCF(2418, 1107, 33991) = 1

HCF of 2418, 1107, 33991 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 2418, 1107, 33991 is 1.

Highest Common Factor of 2418,1107,33991 using Euclid's algorithm

Highest Common Factor of 2418,1107,33991 is 1

Step 1: Since 2418 > 1107, we apply the division lemma to 2418 and 1107, to get

2418 = 1107 x 2 + 204

Step 2: Since the reminder 1107 ≠ 0, we apply division lemma to 204 and 1107, to get

1107 = 204 x 5 + 87

Step 3: We consider the new divisor 204 and the new remainder 87, and apply the division lemma to get

204 = 87 x 2 + 30

We consider the new divisor 87 and the new remainder 30,and apply the division lemma to get

87 = 30 x 2 + 27

We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get

30 = 27 x 1 + 3

We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get

27 = 3 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2418 and 1107 is 3

Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(87,30) = HCF(204,87) = HCF(1107,204) = HCF(2418,1107) .

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

Step 1: Since 33991 > 3, we apply the division lemma to 33991 and 3, to get

33991 = 3 x 11330 + 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 33991 is 1

Notice that 1 = HCF(3,1) = HCF(33991,3) .

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Frequently Asked Questions on HCF of 2418, 1107, 33991 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 2418, 1107, 33991?

Answer: HCF of 2418, 1107, 33991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2418, 1107, 33991 using Euclid's Algorithm?

Answer: For arbitrary numbers 2418, 1107, 33991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.