Highest Common Factor of 2250, 8404, 50181 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 2250, 8404, 50181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2250, 8404, 50181 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 2250, 8404, 50181 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 2250, 8404, 50181 is 1.

HCF(2250, 8404, 50181) = 1

HCF of 2250, 8404, 50181 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 2250, 8404, 50181 is 1.

Highest Common Factor of 2250,8404,50181 using Euclid's algorithm

Highest Common Factor of 2250,8404,50181 is 1

Step 1: Since 8404 > 2250, we apply the division lemma to 8404 and 2250, to get

8404 = 2250 x 3 + 1654

Step 2: Since the reminder 2250 ≠ 0, we apply division lemma to 1654 and 2250, to get

2250 = 1654 x 1 + 596

Step 3: We consider the new divisor 1654 and the new remainder 596, and apply the division lemma to get

1654 = 596 x 2 + 462

We consider the new divisor 596 and the new remainder 462,and apply the division lemma to get

596 = 462 x 1 + 134

We consider the new divisor 462 and the new remainder 134,and apply the division lemma to get

462 = 134 x 3 + 60

We consider the new divisor 134 and the new remainder 60,and apply the division lemma to get

134 = 60 x 2 + 14

We consider the new divisor 60 and the new remainder 14,and apply the division lemma to get

60 = 14 x 4 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 2250 and 8404 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(60,14) = HCF(134,60) = HCF(462,134) = HCF(596,462) = HCF(1654,596) = HCF(2250,1654) = HCF(8404,2250) .

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

Step 1: Since 50181 > 2, we apply the division lemma to 50181 and 2, to get

50181 = 2 x 25090 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 50181 is 1

Notice that 1 = HCF(2,1) = HCF(50181,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2250, 8404, 50181 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 2250, 8404, 50181?

Answer: HCF of 2250, 8404, 50181 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2250, 8404, 50181 using Euclid's Algorithm?

Answer: For arbitrary numbers 2250, 8404, 50181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.