GCD of 180, 196, 780, 289 Calculator

Given Input numbers are 180, 196, 780, 289

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (180, 196, 780, 289) = 1.

Given numbers are 180, 196, 780, 289

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 196 are 2 x 2 x 7 x 7

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

Prime factors of 289 are 17 x 17

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

Given numbers are 180, 196, 780, 289

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

Apply this formula for all numbers.

Step1:

LCM(180, 196) = 8820

GCD(180, 196) = ( 180 x 196 ) / 8820

= 180 / 196

= 180

Step2:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4

So, Greatest Common Divisor of 180, 196, 780, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 164, 605, 387
• GCD of 749, 122, 390, 786
• GCD of 273, 171, 817, 204
• GCD of 891, 378, 494, 923
• GCD of 291, 145, 920, 165

Given numbers are 180, 196, 780, 289
The greatest common divisor of numbers 180, 196, 780, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 196, 780, 289 is 1.

1. What is the GCD of 180, 196, 780, 289?

GCD of given numbers 180, 196, 780, 289 is 1

2. How to calculate the greatest common divisor of 180, 196, 780, 289?

We can find the highest common divisor of 180, 196, 780, 289 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 180, 196, 780, 289 i.e 1.

3. How can I use the GCD of 180, 196, 780, 289Calculator?

Out the numbers 180, 196, 780, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.