GCD of 45, 901, 954, 557 Calculator

Given Input numbers are 45, 901, 954, 557

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 45, 901, 954, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 901, 954, 557 is 1.

Therefore, GCD of numbers 45, 901, 954, 557 is 1

Given Input Data is 45, 901, 954, 557

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 901 is 17 x 53

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 557 is 557

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, 901) = 40545

GCD(45, 901) = ( 45 x 901 ) / 40545

GCD(45, 901) = 40545 / 40545

GCD(45, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 45, 901, 954, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 636, 870, 474
• GCD of 44, 641, 727, 651
• GCD of 11, 679, 841, 780
• GCD of 16, 482, 958, 525
• GCD of 22, 225, 112, 885

1. What is the GCD of 45, 901, 954, 557?

GCD of 45, 901, 954, 557 is 1

2. Where do I get the detailed procedure to find GCD of 45, 901, 954, 557?

You can find a detailed procedure to find GCD of 45, 901, 954, 557 on our page.

3. How to find GCD of 45, 901, 954, 557 on a calculator?

You can find the GCD of 45, 901, 954, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.