GCD of 989, 543, 840, 402 Calculator

Given Input numbers are 989, 543, 840, 402

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 989, 543, 840, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 543, 840, 402 is 1.

Therefore, GCD of numbers 989, 543, 840, 402 is 1

Given Input Data is 989, 543, 840, 402

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 989 is 23 x 43

Prime Factorization of 543 is 3 x 181

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 402 is 2 x 3 x 67

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(989, 543) = 537027

GCD(989, 543) = ( 989 x 543 ) / 537027

GCD(989, 543) = 537027 / 537027

GCD(989, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 989, 543, 840, 402 is 1

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1. What is the GCD of 989, 543, 840, 402?

GCD of 989, 543, 840, 402 is 1

2. Where do I get the detailed procedure to find GCD of 989, 543, 840, 402?

You can find a detailed procedure to find GCD of 989, 543, 840, 402 on our page.

3. How to find GCD of 989, 543, 840, 402 on a calculator?

You can find the GCD of 989, 543, 840, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.