GCD of 460, 768, 137, 108 Calculator

Given Input numbers are 460, 768, 137, 108

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

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

GCD of numbers is the greatest common divisor

So, the GCD (460, 768, 137, 108) = 1.

Given numbers are 460, 768, 137, 108

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 137 are 137

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

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

Given numbers are 460, 768, 137, 108

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

Apply this formula for all numbers.

Step1:

LCM(460, 768) = 88320

GCD(460, 768) = ( 460 x 768 ) / 88320

= 460 / 768

= 460

Step2:

LCM(4, 137) = 548

GCD(4, 137) = ( 4 x 137 ) / 548

= 4 / 137

= 4

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 460, 768, 137, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 843, 784, 173
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Given numbers are 460, 768, 137, 108
The greatest common divisor of numbers 460, 768, 137, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 768, 137, 108 is 1.

1. What is the GCD of 460, 768, 137, 108?

GCD of given numbers 460, 768, 137, 108 is 1

2. How to calculate the greatest common divisor of 460, 768, 137, 108?

We can find the highest common divisor of 460, 768, 137, 108 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 460, 768, 137, 108 i.e 1.

3. How can I use the GCD of 460, 768, 137, 108Calculator?

Out the numbers 460, 768, 137, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.