GCD of 945, 225, 894, 308 Calculator

Given Input numbers are 945, 225, 894, 308

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (945, 225, 894, 308) = 1.

Given numbers are 945, 225, 894, 308

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 894 are 2 x 3 x 149

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 945, 225, 894, 308

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

Apply this formula for all numbers.

Step1:

LCM(945, 225) = 4725

GCD(945, 225) = ( 945 x 225 ) / 4725

= 945 / 225

= 945

Step2:

LCM(45, 894) = 13410

GCD(45, 894) = ( 45 x 894 ) / 13410

= 45 / 894

= 45

Step3:

LCM(3, 308) = 924

GCD(3, 308) = ( 3 x 308 ) / 924

= 3 / 308

= 3

So, Greatest Common Divisor of 945, 225, 894, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 730, 627, 798
• GCD of 199, 680, 289, 719
• GCD of 421, 470, 526, 855
• GCD of 726, 960, 409, 973
• GCD of 684, 166, 325, 842

Given numbers are 945, 225, 894, 308
The greatest common divisor of numbers 945, 225, 894, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 225, 894, 308 is 1.

1. What is the GCD of 945, 225, 894, 308?

GCD of given numbers 945, 225, 894, 308 is 1

2. How to calculate the greatest common divisor of 945, 225, 894, 308?

We can find the highest common divisor of 945, 225, 894, 308 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 945, 225, 894, 308 i.e 1.

3. How can I use the GCD of 945, 225, 894, 308Calculator?

Out the numbers 945, 225, 894, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.