GCD of 975, 225, 30, 105 Calculator

Given Input numbers are 975, 225, 30, 105

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

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 975, 225, 30, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 225, 30, 105 is 15.

Therefore, GCD of numbers 975, 225, 30, 105 is 15

Given Input Data is 975, 225, 30, 105

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

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(975, 225) = 2925

GCD(975, 225) = ( 975 x 225 ) / 2925

GCD(975, 225) = 219375 / 2925

GCD(975, 225) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 30

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

LCM(75, 30) = 150

GCD(75, 30) = ( 75 x 30 ) / 150

GCD(75, 30) = 2250 / 150

GCD(75, 30) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 105

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

LCM(15, 105) = 105

GCD(15, 105) = ( 15 x 105 ) / 105

GCD(15, 105) = 1575 / 105

GCD(15, 105) = 15

GCD of 975, 225, 30, 105 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 920, 75, 154
• GCD of 140, 476, 72, 227
• GCD of 211, 890, 50, 271
• GCD of 609, 874, 77, 563
• GCD of 249, 139, 80, 271

1. What is the GCD of 975, 225, 30, 105?

GCD of 975, 225, 30, 105 is 15

2. Where do I get the detailed procedure to find GCD of 975, 225, 30, 105?

You can find a detailed procedure to find GCD of 975, 225, 30, 105 on our page.

3. How to find GCD of 975, 225, 30, 105 on a calculator?

You can find the GCD of 975, 225, 30, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.