GCD of 675, 780, 220, 361 Calculator

Given Input numbers are 675, 780, 220, 361

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (675, 780, 220, 361) = 1.

Given numbers are 675, 780, 220, 361

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 361 are 19 x 19

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

Given numbers are 675, 780, 220, 361

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

Apply this formula for all numbers.

Step1:

LCM(675, 780) = 35100

GCD(675, 780) = ( 675 x 780 ) / 35100

= 675 / 780

= 675

Step2:

LCM(15, 220) = 660

GCD(15, 220) = ( 15 x 220 ) / 660

= 15 / 220

= 15

Step3:

LCM(5, 361) = 1805

GCD(5, 361) = ( 5 x 361 ) / 1805

= 5 / 361

= 5

So, Greatest Common Divisor of 675, 780, 220, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 171, 808, 345
• GCD of 638, 927, 833, 145
• GCD of 971, 220, 299, 415
• GCD of 404, 360, 235, 980
• GCD of 897, 775, 902, 878

Given numbers are 675, 780, 220, 361
The greatest common divisor of numbers 675, 780, 220, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 780, 220, 361 is 1.

1. What is the GCD of 675, 780, 220, 361?

GCD of given numbers 675, 780, 220, 361 is 1

2. How to calculate the greatest common divisor of 675, 780, 220, 361?

We can find the highest common divisor of 675, 780, 220, 361 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 675, 780, 220, 361 i.e 1.

3. How can I use the GCD of 675, 780, 220, 361Calculator?

Out the numbers 675, 780, 220, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.