Highest Common Factor of 4844, 7653, 11682 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 4844, 7653, 11682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4844, 7653, 11682 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 4844, 7653, 11682 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 4844, 7653, 11682 is 1.

HCF(4844, 7653, 11682) = 1

HCF of 4844, 7653, 11682 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 4844, 7653, 11682 is 1.

Highest Common Factor of 4844,7653,11682 using Euclid's algorithm

Highest Common Factor of 4844,7653,11682 is 1

Step 1: Since 7653 > 4844, we apply the division lemma to 7653 and 4844, to get

7653 = 4844 x 1 + 2809

Step 2: Since the reminder 4844 ≠ 0, we apply division lemma to 2809 and 4844, to get

4844 = 2809 x 1 + 2035

Step 3: We consider the new divisor 2809 and the new remainder 2035, and apply the division lemma to get

2809 = 2035 x 1 + 774

We consider the new divisor 2035 and the new remainder 774,and apply the division lemma to get

2035 = 774 x 2 + 487

We consider the new divisor 774 and the new remainder 487,and apply the division lemma to get

774 = 487 x 1 + 287

We consider the new divisor 487 and the new remainder 287,and apply the division lemma to get

487 = 287 x 1 + 200

We consider the new divisor 287 and the new remainder 200,and apply the division lemma to get

287 = 200 x 1 + 87

We consider the new divisor 200 and the new remainder 87,and apply the division lemma to get

200 = 87 x 2 + 26

We consider the new divisor 87 and the new remainder 26,and apply the division lemma to get

87 = 26 x 3 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4844 and 7653 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(87,26) = HCF(200,87) = HCF(287,200) = HCF(487,287) = HCF(774,487) = HCF(2035,774) = HCF(2809,2035) = HCF(4844,2809) = HCF(7653,4844) .

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

Step 1: Since 11682 > 1, we apply the division lemma to 11682 and 1, to get

11682 = 1 x 11682 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11682 is 1

Notice that 1 = HCF(11682,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4844, 7653, 11682 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 4844, 7653, 11682?

Answer: HCF of 4844, 7653, 11682 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4844, 7653, 11682 using Euclid's Algorithm?

Answer: For arbitrary numbers 4844, 7653, 11682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.