GCD of 980, 509, 462, 874 Calculator

Given Input numbers are 980, 509, 462, 874

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

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 980, 509, 462, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 509, 462, 874 is 1.

Therefore, GCD of numbers 980, 509, 462, 874 is 1

Given Input Data is 980, 509, 462, 874

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

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

Prime Factorization of 509 is 509

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 874 is 2 x 19 x 23

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(980, 509) = 498820

GCD(980, 509) = ( 980 x 509 ) / 498820

GCD(980, 509) = 498820 / 498820

GCD(980, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 980, 509, 462, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 846, 308, 571
• GCD of 488, 154, 383, 157
• GCD of 875, 190, 300, 945
• GCD of 830, 547, 881, 706
• GCD of 517, 668, 481, 271

1. What is the GCD of 980, 509, 462, 874?

GCD of 980, 509, 462, 874 is 1

2. Where do I get the detailed procedure to find GCD of 980, 509, 462, 874?

You can find a detailed procedure to find GCD of 980, 509, 462, 874 on our page.

3. How to find GCD of 980, 509, 462, 874 on a calculator?

You can find the GCD of 980, 509, 462, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.