GCD of 900, 399, 747, 275 Calculator

Given Input numbers are 900, 399, 747, 275

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

GCD of numbers is the greatest common divisor

So, the GCD (900, 399, 747, 275) = 1.

Given numbers are 900, 399, 747, 275

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 399 are 3 x 7 x 19

Prime factors of 747 are 3 x 3 x 83

Prime factors of 275 are 5 x 5 x 11

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

Given numbers are 900, 399, 747, 275

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

Apply this formula for all numbers.

Step1:

LCM(900, 399) = 119700

GCD(900, 399) = ( 900 x 399 ) / 119700

= 900 / 399

= 900

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 275) = 825

GCD(3, 275) = ( 3 x 275 ) / 825

= 3 / 275

= 3

So, Greatest Common Divisor of 900, 399, 747, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 538, 838, 314
• GCD of 336, 376, 221, 319
• GCD of 419, 437, 686, 413
• GCD of 260, 804, 172, 760
• GCD of 423, 595, 265, 386

Given numbers are 900, 399, 747, 275
The greatest common divisor of numbers 900, 399, 747, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 399, 747, 275 is 1.

1. What is the GCD of 900, 399, 747, 275?

GCD of given numbers 900, 399, 747, 275 is 1

2. How to calculate the greatest common divisor of 900, 399, 747, 275?

We can find the highest common divisor of 900, 399, 747, 275 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, 399, 747, 275 i.e 1.

3. How can I use the GCD of 900, 399, 747, 275Calculator?

Out the numbers 900, 399, 747, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.