GCD of 90, 980, 642, 513 Calculator

Given Input numbers are 90, 980, 642, 513

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 90, 980, 642, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 980, 642, 513 is 1.

Therefore, GCD of numbers 90, 980, 642, 513 is 1

Given Input Data is 90, 980, 642, 513

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(90, 980) = 8820

GCD(90, 980) = ( 90 x 980 ) / 8820

GCD(90, 980) = 88200 / 8820

GCD(90, 980) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 642

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

LCM(10, 642) = 3210

GCD(10, 642) = ( 10 x 642 ) / 3210

GCD(10, 642) = 6420 / 3210

GCD(10, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 90, 980, 642, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 818, 284, 639
• GCD of 24, 897, 188, 833
• GCD of 85, 870, 694, 364
• GCD of 19, 305, 400, 653
• GCD of 93, 627, 873, 661

1. What is the GCD of 90, 980, 642, 513?

GCD of 90, 980, 642, 513 is 1

2. Where do I get the detailed procedure to find GCD of 90, 980, 642, 513?

You can find a detailed procedure to find GCD of 90, 980, 642, 513 on our page.

3. How to find GCD of 90, 980, 642, 513 on a calculator?

You can find the GCD of 90, 980, 642, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.