GCD of 975, 980, 61, 223 Calculator

Given Input numbers are 975, 980, 61, 223

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 975, 980, 61, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 980, 61, 223 is 1.

Therefore, GCD of numbers 975, 980, 61, 223 is 1

Given Input Data is 975, 980, 61, 223

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 61 is 61

Prime Factorization of 223 is 223

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(975, 980) = 191100

GCD(975, 980) = ( 975 x 980 ) / 191100

GCD(975, 980) = 955500 / 191100

GCD(975, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 61

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

LCM(5, 61) = 305

GCD(5, 61) = ( 5 x 61 ) / 305

GCD(5, 61) = 305 / 305

GCD(5, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 975, 980, 61, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 189, 35, 762
• GCD of 582, 189, 45, 362
• GCD of 330, 210, 82, 399
• GCD of 341, 238, 60, 376
• GCD of 170, 766, 61, 155

1. What is the GCD of 975, 980, 61, 223?

GCD of 975, 980, 61, 223 is 1

2. Where do I get the detailed procedure to find GCD of 975, 980, 61, 223?

You can find a detailed procedure to find GCD of 975, 980, 61, 223 on our page.

3. How to find GCD of 975, 980, 61, 223 on a calculator?

You can find the GCD of 975, 980, 61, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.