GCD of 720, 972, 780, 268 Calculator

Given Input numbers are 720, 972, 780, 268

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

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 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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (720, 972, 780, 268) = 4.

Given numbers are 720, 972, 780, 268

The list of prime factors of all numbers are

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

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 720, 972, 780, 268 is 4.

Given numbers are 720, 972, 780, 268

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

Apply this formula for all numbers.

Step1:

LCM(720, 972) = 19440

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

= 720 / 972

= 720

Step2:

LCM(36, 780) = 2340

GCD(36, 780) = ( 36 x 780 ) / 2340

= 36 / 780

= 36

Step3:

LCM(12, 268) = 804

GCD(12, 268) = ( 12 x 268 ) / 804

= 12 / 268

= 12

So, Greatest Common Divisor of 720, 972, 780, 268 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 811, 218, 996
• GCD of 566, 375, 179, 379
• GCD of 311, 823, 687, 396
• GCD of 110, 713, 275, 387
• GCD of 898, 976, 564, 894

Given numbers are 720, 972, 780, 268
The greatest common divisor of numbers 720, 972, 780, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 972, 780, 268 is 4.

1. What is the GCD of 720, 972, 780, 268?

GCD of given numbers 720, 972, 780, 268 is 4

2. How to calculate the greatest common divisor of 720, 972, 780, 268?

We can find the highest common divisor of 720, 972, 780, 268 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 720, 972, 780, 268 i.e 4.

3. How can I use the GCD of 720, 972, 780, 268Calculator?

Out the numbers 720, 972, 780, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.