GCD of 309, 980, 564, 320 Calculator

Given Input numbers are 309, 980, 564, 320

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (309, 980, 564, 320) = 1.

Given numbers are 309, 980, 564, 320

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 309, 980, 564, 320

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

Apply this formula for all numbers.

Step1:

LCM(309, 980) = 302820

GCD(309, 980) = ( 309 x 980 ) / 302820

= 309 / 980

= 309

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 309, 980, 564, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 701, 503, 464
• GCD of 137, 482, 415, 685
• GCD of 347, 490, 420, 528
• GCD of 559, 857, 869, 835
• GCD of 950, 970, 893, 677

Given numbers are 309, 980, 564, 320
The greatest common divisor of numbers 309, 980, 564, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 980, 564, 320 is 1.

1. What is the GCD of 309, 980, 564, 320?

GCD of given numbers 309, 980, 564, 320 is 1

2. How to calculate the greatest common divisor of 309, 980, 564, 320?

We can find the highest common divisor of 309, 980, 564, 320 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 309, 980, 564, 320 i.e 1.

3. How can I use the GCD of 309, 980, 564, 320Calculator?

Out the numbers 309, 980, 564, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.