GCD of 972, 720, 272, 270 Calculator

Given Input numbers are 972, 720, 272, 270

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (972, 720, 272, 270) = 2.

Given numbers are 972, 720, 272, 270

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 972, 720, 272, 270 is 2.

Given numbers are 972, 720, 272, 270

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

Apply this formula for all numbers.

Step1:

LCM(972, 720) = 19440

GCD(972, 720) = ( 972 x 720 ) / 19440

= 972 / 720

= 972

Step2:

LCM(36, 272) = 2448

GCD(36, 272) = ( 36 x 272 ) / 2448

= 36 / 272

= 36

Step3:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

So, Greatest Common Divisor of 972, 720, 272, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 670, 113, 361
• GCD of 227, 147, 218, 249
• GCD of 745, 924, 541, 313
• GCD of 748, 774, 594, 524
• GCD of 540, 245, 440, 788

Given numbers are 972, 720, 272, 270
The greatest common divisor of numbers 972, 720, 272, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 720, 272, 270 is 2.

1. What is the GCD of 972, 720, 272, 270?

GCD of given numbers 972, 720, 272, 270 is 2

2. How to calculate the greatest common divisor of 972, 720, 272, 270?

We can find the highest common divisor of 972, 720, 272, 270 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 972, 720, 272, 270 i.e 2.

3. How can I use the GCD of 972, 720, 272, 270Calculator?

Out the numbers 972, 720, 272, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.