Highest Common Factor of 4548, 2462, 11195 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 4548, 2462, 11195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4548, 2462, 11195 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 4548, 2462, 11195 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 4548, 2462, 11195 is 1.

HCF(4548, 2462, 11195) = 1

HCF of 4548, 2462, 11195 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 4548, 2462, 11195 is 1.

Highest Common Factor of 4548,2462,11195 using Euclid's algorithm

Highest Common Factor of 4548,2462,11195 is 1

Step 1: Since 4548 > 2462, we apply the division lemma to 4548 and 2462, to get

4548 = 2462 x 1 + 2086

Step 2: Since the reminder 2462 ≠ 0, we apply division lemma to 2086 and 2462, to get

2462 = 2086 x 1 + 376

Step 3: We consider the new divisor 2086 and the new remainder 376, and apply the division lemma to get

2086 = 376 x 5 + 206

We consider the new divisor 376 and the new remainder 206,and apply the division lemma to get

376 = 206 x 1 + 170

We consider the new divisor 206 and the new remainder 170,and apply the division lemma to get

206 = 170 x 1 + 36

We consider the new divisor 170 and the new remainder 36,and apply the division lemma to get

170 = 36 x 4 + 26

We consider the new divisor 36 and the new remainder 26,and apply the division lemma to get

36 = 26 x 1 + 10

We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get

26 = 10 x 2 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 4548 and 2462 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(36,26) = HCF(170,36) = HCF(206,170) = HCF(376,206) = HCF(2086,376) = HCF(2462,2086) = HCF(4548,2462) .

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

Step 1: Since 11195 > 2, we apply the division lemma to 11195 and 2, to get

11195 = 2 x 5597 + 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 11195 is 1

Notice that 1 = HCF(2,1) = HCF(11195,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4548, 2462, 11195 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 4548, 2462, 11195?

Answer: HCF of 4548, 2462, 11195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4548, 2462, 11195 using Euclid's Algorithm?

Answer: For arbitrary numbers 4548, 2462, 11195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.