GCD of 900, 860, 675, 249 Calculator

Given Input numbers are 900, 860, 675, 249

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (900, 860, 675, 249) = 1.

Given numbers are 900, 860, 675, 249

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 860 are 2 x 2 x 5 x 43

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 249 are 3 x 83

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

Given numbers are 900, 860, 675, 249

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

Apply this formula for all numbers.

Step1:

LCM(900, 860) = 38700

GCD(900, 860) = ( 900 x 860 ) / 38700

= 900 / 860

= 900

Step2:

LCM(20, 675) = 2700

GCD(20, 675) = ( 20 x 675 ) / 2700

= 20 / 675

= 20

Step3:

LCM(5, 249) = 1245

GCD(5, 249) = ( 5 x 249 ) / 1245

= 5 / 249

= 5

So, Greatest Common Divisor of 900, 860, 675, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 650, 900, 838
• GCD of 384, 550, 849, 328
• GCD of 218, 732, 507, 988
• GCD of 685, 894, 275, 189
• GCD of 936, 336, 848, 766

Given numbers are 900, 860, 675, 249
The greatest common divisor of numbers 900, 860, 675, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 860, 675, 249 is 1.

1. What is the GCD of 900, 860, 675, 249?

GCD of given numbers 900, 860, 675, 249 is 1

2. How to calculate the greatest common divisor of 900, 860, 675, 249?

We can find the highest common divisor of 900, 860, 675, 249 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, 860, 675, 249 i.e 1.

3. How can I use the GCD of 900, 860, 675, 249Calculator?

Out the numbers 900, 860, 675, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.