GCD of 270, 791, 756, 189 Calculator

Given Input numbers are 270, 791, 756, 189

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 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (270, 791, 756, 189) = 1.

Given numbers are 270, 791, 756, 189

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 791 are 7 x 113

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 270, 791, 756, 189

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

Apply this formula for all numbers.

Step1:

LCM(270, 791) = 213570

GCD(270, 791) = ( 270 x 791 ) / 213570

= 270 / 791

= 270

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 270, 791, 756, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 478, 922, 428
• GCD of 345, 121, 366, 651
• GCD of 667, 876, 954, 760
• GCD of 226, 909, 386, 466
• GCD of 244, 312, 214, 804

Given numbers are 270, 791, 756, 189
The greatest common divisor of numbers 270, 791, 756, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 791, 756, 189 is 1.

1. What is the GCD of 270, 791, 756, 189?

GCD of given numbers 270, 791, 756, 189 is 1

2. How to calculate the greatest common divisor of 270, 791, 756, 189?

We can find the highest common divisor of 270, 791, 756, 189 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, 791, 756, 189 i.e 1.

3. How can I use the GCD of 270, 791, 756, 189Calculator?

Out the numbers 270, 791, 756, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.