GCD of 989, 790, 402, 914 Calculator

Given Input numbers are 989, 790, 402, 914

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 402

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

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 989, 790, 402, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 790, 402, 914 is 1.

Therefore, GCD of numbers 989, 790, 402, 914 is 1

Given Input Data is 989, 790, 402, 914

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 914 is 2 x 457

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, 790) = 781310

GCD(989, 790) = ( 989 x 790 ) / 781310

GCD(989, 790) = 781310 / 781310

GCD(989, 790) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 989, 790, 402, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 474, 309, 607
• GCD of 624, 354, 844, 645
• GCD of 642, 258, 360, 300
• GCD of 336, 875, 126, 460
• GCD of 790, 420, 113, 390

1. What is the GCD of 989, 790, 402, 914?

GCD of 989, 790, 402, 914 is 1

2. Where do I get the detailed procedure to find GCD of 989, 790, 402, 914?

You can find a detailed procedure to find GCD of 989, 790, 402, 914 on our page.

3. How to find GCD of 989, 790, 402, 914 on a calculator?

You can find the GCD of 989, 790, 402, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.