GCD of 294, 360, 144, 945 Calculator

Given Input numbers are 294, 360, 144, 945

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

GCD of numbers is the greatest common divisor

So, the GCD (294, 360, 144, 945) = 3.

Given numbers are 294, 360, 144, 945

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 294, 360, 144, 945 is 3.

Given numbers are 294, 360, 144, 945

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

Apply this formula for all numbers.

Step1:

LCM(294, 360) = 17640

GCD(294, 360) = ( 294 x 360 ) / 17640

= 294 / 360

= 294

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

Step3:

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

= 6 / 945

= 6

So, Greatest Common Divisor of 294, 360, 144, 945 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 459, 107, 374
• GCD of 778, 789, 522, 435
• GCD of 115, 441, 979, 875
• GCD of 288, 934, 188, 383
• GCD of 176, 954, 294, 573

Given numbers are 294, 360, 144, 945
The greatest common divisor of numbers 294, 360, 144, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 360, 144, 945 is 3.

1. What is the GCD of 294, 360, 144, 945?

GCD of given numbers 294, 360, 144, 945 is 3

2. How to calculate the greatest common divisor of 294, 360, 144, 945?

We can find the highest common divisor of 294, 360, 144, 945 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 294, 360, 144, 945 i.e 3.

3. How can I use the GCD of 294, 360, 144, 945Calculator?

Out the numbers 294, 360, 144, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.