GCD of 220, 780, 309, 400 Calculator

Given Input numbers are 220, 780, 309, 400

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

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 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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (220, 780, 309, 400) = 1.

Given numbers are 220, 780, 309, 400

The list of prime factors of all numbers are

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

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

Prime factors of 309 are 3 x 103

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 220, 780, 309, 400

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

Apply this formula for all numbers.

Step1:

LCM(220, 780) = 8580

GCD(220, 780) = ( 220 x 780 ) / 8580

= 220 / 780

= 220

Step2:

LCM(20, 309) = 6180

GCD(20, 309) = ( 20 x 309 ) / 6180

= 20 / 309

= 20

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 220, 780, 309, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 129, 502, 619
• GCD of 524, 795, 776, 339
• GCD of 700, 301, 763, 942
• GCD of 394, 678, 650, 748
• GCD of 664, 304, 335, 190

Given numbers are 220, 780, 309, 400
The greatest common divisor of numbers 220, 780, 309, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 780, 309, 400 is 1.

1. What is the GCD of 220, 780, 309, 400?

GCD of given numbers 220, 780, 309, 400 is 1

2. How to calculate the greatest common divisor of 220, 780, 309, 400?

We can find the highest common divisor of 220, 780, 309, 400 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 220, 780, 309, 400 i.e 1.

3. How can I use the GCD of 220, 780, 309, 400Calculator?

Out the numbers 220, 780, 309, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.