GCD of 45, 652, 975, 220 Calculator

Given Input numbers are 45, 652, 975, 220

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 45, 652, 975, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 652, 975, 220 is 1.

Therefore, GCD of numbers 45, 652, 975, 220 is 1

Given Input Data is 45, 652, 975, 220

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 652 is 2 x 2 x 163

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 220 is 2 x 2 x 5 x 11

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, 652) = 29340

GCD(45, 652) = ( 45 x 652 ) / 29340

GCD(45, 652) = 29340 / 29340

GCD(45, 652) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 45, 652, 975, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 716, 804, 450
• GCD of 22, 583, 398, 274
• GCD of 75, 294, 141, 797
• GCD of 31, 676, 590, 303
• GCD of 10, 410, 216, 291

1. What is the GCD of 45, 652, 975, 220?

GCD of 45, 652, 975, 220 is 1

2. Where do I get the detailed procedure to find GCD of 45, 652, 975, 220?

You can find a detailed procedure to find GCD of 45, 652, 975, 220 on our page.

3. How to find GCD of 45, 652, 975, 220 on a calculator?

You can find the GCD of 45, 652, 975, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.