GCD of 916, 280, 789, 272 Calculator

Given Input numbers are 916, 280, 789, 272

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 280, 789, 272) = 1.

Given numbers are 916, 280, 789, 272

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 789 are 3 x 263

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

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

Given numbers are 916, 280, 789, 272

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

Apply this formula for all numbers.

Step1:

LCM(916, 280) = 64120

GCD(916, 280) = ( 916 x 280 ) / 64120

= 916 / 280

= 916

Step2:

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

= 4 / 789

= 4

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 916, 280, 789, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 104, 155, 313
• GCD of 933, 239, 341, 726
• GCD of 545, 464, 236, 510
• GCD of 649, 778, 199, 864
• GCD of 116, 732, 730, 118

Given numbers are 916, 280, 789, 272
The greatest common divisor of numbers 916, 280, 789, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 280, 789, 272 is 1.

1. What is the GCD of 916, 280, 789, 272?

GCD of given numbers 916, 280, 789, 272 is 1

2. How to calculate the greatest common divisor of 916, 280, 789, 272?

We can find the highest common divisor of 916, 280, 789, 272 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 916, 280, 789, 272 i.e 1.

3. How can I use the GCD of 916, 280, 789, 272Calculator?

Out the numbers 916, 280, 789, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.