GCD of 270, 369, 530, 975 Calculator

Given Input numbers are 270, 369, 530, 975

In the factoring method, we have to find the divisors of all numbers

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (270, 369, 530, 975) = 1.

Given numbers are 270, 369, 530, 975

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 369 are 3 x 3 x 41

Prime factors of 530 are 2 x 5 x 53

Prime factors of 975 are 3 x 5 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 270, 369, 530, 975

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(270, 369) = 11070

GCD(270, 369) = ( 270 x 369 ) / 11070

= 270 / 369

= 270

Step2:

LCM(9, 530) = 4770

GCD(9, 530) = ( 9 x 530 ) / 4770

= 9 / 530

= 9

Step3:

LCM(1, 975) = 975

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

= 1 / 975

= 1

So, Greatest Common Divisor of 270, 369, 530, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 541, 263, 747
• GCD of 115, 431, 646, 954
• GCD of 172, 958, 935, 234
• GCD of 567, 123, 188, 155
• GCD of 411, 102, 890, 491

Given numbers are 270, 369, 530, 975
The greatest common divisor of numbers 270, 369, 530, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 369, 530, 975 is 1.

1. What is the GCD of 270, 369, 530, 975?

GCD of given numbers 270, 369, 530, 975 is 1

2. How to calculate the greatest common divisor of 270, 369, 530, 975?

We can find the highest common divisor of 270, 369, 530, 975 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 270, 369, 530, 975 i.e 1.

3. How can I use the GCD of 270, 369, 530, 975Calculator?

Out the numbers 270, 369, 530, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.