GCD of 45, 945, 524, 761 Calculator

Given Input numbers are 45, 945, 524, 761

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 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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 45, 945, 524, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 945, 524, 761 is 1.

Therefore, GCD of numbers 45, 945, 524, 761 is 1

Given Input Data is 45, 945, 524, 761

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 761 is 761

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, 945) = 945

GCD(45, 945) = ( 45 x 945 ) / 945

GCD(45, 945) = 42525 / 945

GCD(45, 945) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 524

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

LCM(45, 524) = 23580

GCD(45, 524) = ( 45 x 524 ) / 23580

GCD(45, 524) = 23580 / 23580

GCD(45, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 45, 945, 524, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 532, 640, 561
• GCD of 80, 158, 840, 562
• GCD of 72, 760, 404, 583
• GCD of 46, 641, 971, 479
• GCD of 80, 920, 940, 206

1. What is the GCD of 45, 945, 524, 761?

GCD of 45, 945, 524, 761 is 1

2. Where do I get the detailed procedure to find GCD of 45, 945, 524, 761?

You can find a detailed procedure to find GCD of 45, 945, 524, 761 on our page.

3. How to find GCD of 45, 945, 524, 761 on a calculator?

You can find the GCD of 45, 945, 524, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.