GCD of 900, 125, 648, 616 Calculator

Given Input numbers are 900, 125, 648, 616

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (900, 125, 648, 616) = 1.

Given numbers are 900, 125, 648, 616

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 125 are 5 x 5 x 5

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 900, 125, 648, 616

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

Apply this formula for all numbers.

Step1:

LCM(900, 125) = 4500

GCD(900, 125) = ( 900 x 125 ) / 4500

= 900 / 125

= 900

Step2:

LCM(25, 648) = 16200

GCD(25, 648) = ( 25 x 648 ) / 16200

= 25 / 648

= 25

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 900, 125, 648, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 912, 194, 827
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Given numbers are 900, 125, 648, 616
The greatest common divisor of numbers 900, 125, 648, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 125, 648, 616 is 1.

1. What is the GCD of 900, 125, 648, 616?

GCD of given numbers 900, 125, 648, 616 is 1

2. How to calculate the greatest common divisor of 900, 125, 648, 616?

We can find the highest common divisor of 900, 125, 648, 616 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 900, 125, 648, 616 i.e 1.

3. How can I use the GCD of 900, 125, 648, 616Calculator?

Out the numbers 900, 125, 648, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.