GCD of 648, 305, 137, 600 Calculator

Given Input numbers are 648, 305, 137, 600

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 137 :

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

1, 137

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (648, 305, 137, 600) = 1.

Given numbers are 648, 305, 137, 600

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 305 are 5 x 61

Prime factors of 137 are 137

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 648, 305, 137, 600

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

Apply this formula for all numbers.

Step1:

LCM(648, 305) = 197640

GCD(648, 305) = ( 648 x 305 ) / 197640

= 648 / 305

= 648

Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 648, 305, 137, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 920, 762, 703
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Given numbers are 648, 305, 137, 600
The greatest common divisor of numbers 648, 305, 137, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 305, 137, 600 is 1.

1. What is the GCD of 648, 305, 137, 600?

GCD of given numbers 648, 305, 137, 600 is 1

2. How to calculate the greatest common divisor of 648, 305, 137, 600?

We can find the highest common divisor of 648, 305, 137, 600 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 648, 305, 137, 600 i.e 1.

3. How can I use the GCD of 648, 305, 137, 600Calculator?

Out the numbers 648, 305, 137, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.