Highest Common Factor of 3985, 2289, 75921 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 3985, 2289, 75921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3985, 2289, 75921 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 3985, 2289, 75921 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 3985, 2289, 75921 is 1.

HCF(3985, 2289, 75921) = 1

HCF of 3985, 2289, 75921 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 3985, 2289, 75921 is 1.

Highest Common Factor of 3985,2289,75921 using Euclid's algorithm

Highest Common Factor of 3985,2289,75921 is 1

Step 1: Since 3985 > 2289, we apply the division lemma to 3985 and 2289, to get

3985 = 2289 x 1 + 1696

Step 2: Since the reminder 2289 ≠ 0, we apply division lemma to 1696 and 2289, to get

2289 = 1696 x 1 + 593

Step 3: We consider the new divisor 1696 and the new remainder 593, and apply the division lemma to get

1696 = 593 x 2 + 510

We consider the new divisor 593 and the new remainder 510,and apply the division lemma to get

593 = 510 x 1 + 83

We consider the new divisor 510 and the new remainder 83,and apply the division lemma to get

510 = 83 x 6 + 12

We consider the new divisor 83 and the new remainder 12,and apply the division lemma to get

83 = 12 x 6 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3985 and 2289 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(83,12) = HCF(510,83) = HCF(593,510) = HCF(1696,593) = HCF(2289,1696) = HCF(3985,2289) .

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

Step 1: Since 75921 > 1, we apply the division lemma to 75921 and 1, to get

75921 = 1 x 75921 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75921 is 1

Notice that 1 = HCF(75921,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3985, 2289, 75921 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 3985, 2289, 75921?

Answer: HCF of 3985, 2289, 75921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3985, 2289, 75921 using Euclid's Algorithm?

Answer: For arbitrary numbers 3985, 2289, 75921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.