GCD of 945, 780, 269, 461 Calculator

Given Input numbers are 945, 780, 269, 461

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 945, 780, 269, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 780, 269, 461 is 1.

Therefore, GCD of numbers 945, 780, 269, 461 is 1

Given Input Data is 945, 780, 269, 461

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 269 is 269

Prime Factorization of 461 is 461

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(945, 780) = 49140

GCD(945, 780) = ( 945 x 780 ) / 49140

GCD(945, 780) = 737100 / 49140

GCD(945, 780) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 269

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

LCM(15, 269) = 4035

GCD(15, 269) = ( 15 x 269 ) / 4035

GCD(15, 269) = 4035 / 4035

GCD(15, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 945, 780, 269, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 515, 744, 985
• GCD of 219, 899, 454, 561
• GCD of 924, 816, 873, 163
• GCD of 936, 633, 636, 241
• GCD of 744, 446, 775, 654

1. What is the GCD of 945, 780, 269, 461?

GCD of 945, 780, 269, 461 is 1

2. Where do I get the detailed procedure to find GCD of 945, 780, 269, 461?

You can find a detailed procedure to find GCD of 945, 780, 269, 461 on our page.

3. How to find GCD of 945, 780, 269, 461 on a calculator?

You can find the GCD of 945, 780, 269, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.