GCD of 945, 292, 29, 407 Calculator

Given Input numbers are 945, 292, 29, 407

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 945, 292, 29, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 292, 29, 407 is 1.

Therefore, GCD of numbers 945, 292, 29, 407 is 1

Given Input Data is 945, 292, 29, 407

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 292 is 2 x 2 x 73

Prime Factorization of 29 is 29

Prime Factorization of 407 is 11 x 37

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, 292) = 275940

GCD(945, 292) = ( 945 x 292 ) / 275940

GCD(945, 292) = 275940 / 275940

GCD(945, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 945, 292, 29, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 354, 29, 163
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• GCD of 666, 984, 45, 136
• GCD of 984, 213, 94, 659
• GCD of 196, 152, 33, 535

1. What is the GCD of 945, 292, 29, 407?

GCD of 945, 292, 29, 407 is 1

2. Where do I get the detailed procedure to find GCD of 945, 292, 29, 407?

You can find a detailed procedure to find GCD of 945, 292, 29, 407 on our page.

3. How to find GCD of 945, 292, 29, 407 on a calculator?

You can find the GCD of 945, 292, 29, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.