GCD of 675, 615, 187, 312 Calculator

Given Input numbers are 675, 615, 187, 312

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

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 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (675, 615, 187, 312) = 1.

Given numbers are 675, 615, 187, 312

The list of prime factors of all numbers are

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

Prime factors of 615 are 3 x 5 x 41

Prime factors of 187 are 11 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 675, 615, 187, 312

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

Apply this formula for all numbers.

Step1:

LCM(675, 615) = 27675

GCD(675, 615) = ( 675 x 615 ) / 27675

= 675 / 615

= 675

Step2:

LCM(15, 187) = 2805

GCD(15, 187) = ( 15 x 187 ) / 2805

= 15 / 187

= 15

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 675, 615, 187, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 581, 166, 859
• GCD of 137, 369, 496, 695
• GCD of 478, 795, 699, 201
• GCD of 516, 397, 681, 947
• GCD of 421, 613, 980, 197

Given numbers are 675, 615, 187, 312
The greatest common divisor of numbers 675, 615, 187, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 615, 187, 312 is 1.

1. What is the GCD of 675, 615, 187, 312?

GCD of given numbers 675, 615, 187, 312 is 1

2. How to calculate the greatest common divisor of 675, 615, 187, 312?

We can find the highest common divisor of 675, 615, 187, 312 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 675, 615, 187, 312 i.e 1.

3. How can I use the GCD of 675, 615, 187, 312Calculator?

Out the numbers 675, 615, 187, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.