GCD of 45, 977, 125, 123 Calculator

Given Input numbers are 45, 977, 125, 123

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 45, 977, 125, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 977, 125, 123 is 1.

Therefore, GCD of numbers 45, 977, 125, 123 is 1

Given Input Data is 45, 977, 125, 123

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 977 is 977

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 123 is 3 x 41

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(45, 977) = 43965

GCD(45, 977) = ( 45 x 977 ) / 43965

GCD(45, 977) = 43965 / 43965

GCD(45, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 45, 977, 125, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 418, 564, 813
• GCD of 33, 568, 699, 588
• GCD of 15, 237, 439, 680
• GCD of 55, 563, 359, 968
• GCD of 97, 571, 869, 890

1. What is the GCD of 45, 977, 125, 123?

GCD of 45, 977, 125, 123 is 1

2. Where do I get the detailed procedure to find GCD of 45, 977, 125, 123?

You can find a detailed procedure to find GCD of 45, 977, 125, 123 on our page.

3. How to find GCD of 45, 977, 125, 123 on a calculator?

You can find the GCD of 45, 977, 125, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.