GCD of 270, 508, 728, 743 Calculator

Given Input numbers are 270, 508, 728, 743

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (270, 508, 728, 743) = 1.

Given numbers are 270, 508, 728, 743

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 508 are 2 x 2 x 127

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 743 are 743

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

Given numbers are 270, 508, 728, 743

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

Apply this formula for all numbers.

Step1:

LCM(270, 508) = 68580

GCD(270, 508) = ( 270 x 508 ) / 68580

= 270 / 508

= 270

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

So, Greatest Common Divisor of 270, 508, 728, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 568, 156, 888
• GCD of 471, 681, 782, 481
• GCD of 668, 590, 920, 180
• GCD of 124, 889, 187, 386
• GCD of 331, 374, 205, 832

Given numbers are 270, 508, 728, 743
The greatest common divisor of numbers 270, 508, 728, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 508, 728, 743 is 1.

1. What is the GCD of 270, 508, 728, 743?

GCD of given numbers 270, 508, 728, 743 is 1

2. How to calculate the greatest common divisor of 270, 508, 728, 743?

We can find the highest common divisor of 270, 508, 728, 743 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, 508, 728, 743 i.e 1.

3. How can I use the GCD of 270, 508, 728, 743Calculator?

Out the numbers 270, 508, 728, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.