GCD of 270, 688, 108, 963 Calculator

Given Input numbers are 270, 688, 108, 963

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (270, 688, 108, 963) = 1.

Given numbers are 270, 688, 108, 963

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 963 are 3 x 3 x 107

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

Given numbers are 270, 688, 108, 963

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

Apply this formula for all numbers.

Step1:

LCM(270, 688) = 92880

GCD(270, 688) = ( 270 x 688 ) / 92880

= 270 / 688

= 270

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

= 2 / 963

= 2

So, Greatest Common Divisor of 270, 688, 108, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 308, 249, 125
• GCD of 627, 459, 111, 558
• GCD of 910, 109, 872, 683
• GCD of 382, 214, 642, 151
• GCD of 437, 730, 527, 609

Given numbers are 270, 688, 108, 963
The greatest common divisor of numbers 270, 688, 108, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 688, 108, 963 is 1.

1. What is the GCD of 270, 688, 108, 963?

GCD of given numbers 270, 688, 108, 963 is 1

2. How to calculate the greatest common divisor of 270, 688, 108, 963?

We can find the highest common divisor of 270, 688, 108, 963 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, 688, 108, 963 i.e 1.

3. How can I use the GCD of 270, 688, 108, 963Calculator?

Out the numbers 270, 688, 108, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.