GCD of 123, 785, 45, 957 Calculator

Given Input numbers are 123, 785, 45, 957

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 123, 785, 45, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 785, 45, 957 is 1.

Therefore, GCD of numbers 123, 785, 45, 957 is 1

Given Input Data is 123, 785, 45, 957

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 785 is 5 x 157

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 957 is 3 x 11 x 29

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(123, 785) = 96555

GCD(123, 785) = ( 123 x 785 ) / 96555

GCD(123, 785) = 96555 / 96555

GCD(123, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 123, 785, 45, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 874, 57, 657
• GCD of 214, 422, 37, 845
• GCD of 834, 826, 19, 855
• GCD of 258, 657, 14, 660
• GCD of 962, 155, 59, 971

1. What is the GCD of 123, 785, 45, 957?

GCD of 123, 785, 45, 957 is 1

2. Where do I get the detailed procedure to find GCD of 123, 785, 45, 957?

You can find a detailed procedure to find GCD of 123, 785, 45, 957 on our page.

3. How to find GCD of 123, 785, 45, 957 on a calculator?

You can find the GCD of 123, 785, 45, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.