GCD of 565, 772, 140, 945 Calculator

Given Input numbers are 565, 772, 140, 945

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

Greatest Common Divisior

We found the divisors of 565, 772, 140, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 772, 140, 945 is 1.

Therefore, GCD of numbers 565, 772, 140, 945 is 1

Given Input Data is 565, 772, 140, 945

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

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(565, 772) = 436180

GCD(565, 772) = ( 565 x 772 ) / 436180

GCD(565, 772) = 436180 / 436180

GCD(565, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 565, 772, 140, 945 is 1

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1. What is the GCD of 565, 772, 140, 945?

GCD of 565, 772, 140, 945 is 1

2. Where do I get the detailed procedure to find GCD of 565, 772, 140, 945?

You can find a detailed procedure to find GCD of 565, 772, 140, 945 on our page.

3. How to find GCD of 565, 772, 140, 945 on a calculator?

You can find the GCD of 565, 772, 140, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.