GCD of 900, 560, 387, 390 Calculator

Given Input numbers are 900, 560, 387, 390

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (900, 560, 387, 390) = 1.

Given numbers are 900, 560, 387, 390

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 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 387 are 3 x 3 x 43

Prime factors of 390 are 2 x 3 x 5 x 13

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

Given numbers are 900, 560, 387, 390

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

Apply this formula for all numbers.

Step1:

LCM(900, 560) = 25200

GCD(900, 560) = ( 900 x 560 ) / 25200

= 900 / 560

= 900

Step2:

LCM(20, 387) = 7740

GCD(20, 387) = ( 20 x 387 ) / 7740

= 20 / 387

= 20

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 900, 560, 387, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 919, 922, 590
• GCD of 654, 313, 122, 662
• GCD of 851, 424, 813, 857
• GCD of 545, 717, 648, 525
• GCD of 850, 785, 814, 251

Given numbers are 900, 560, 387, 390
The greatest common divisor of numbers 900, 560, 387, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 560, 387, 390 is 1.

1. What is the GCD of 900, 560, 387, 390?

GCD of given numbers 900, 560, 387, 390 is 1

2. How to calculate the greatest common divisor of 900, 560, 387, 390?

We can find the highest common divisor of 900, 560, 387, 390 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, 560, 387, 390 i.e 1.

3. How can I use the GCD of 900, 560, 387, 390Calculator?

Out the numbers 900, 560, 387, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.