GCD of 309, 540, 224, 920 Calculator

Given Input numbers are 309, 540, 224, 920

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (309, 540, 224, 920) = 1.

Given numbers are 309, 540, 224, 920

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 309, 540, 224, 920

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

Apply this formula for all numbers.

Step1:

LCM(309, 540) = 55620

GCD(309, 540) = ( 309 x 540 ) / 55620

= 309 / 540

= 309

Step2:

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

= 3 / 224

= 3

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 309, 540, 224, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 527, 498, 161
• GCD of 803, 904, 468, 435
• GCD of 653, 575, 875, 462
• GCD of 425, 167, 953, 434
• GCD of 490, 499, 105, 737

Given numbers are 309, 540, 224, 920
The greatest common divisor of numbers 309, 540, 224, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 540, 224, 920 is 1.

1. What is the GCD of 309, 540, 224, 920?

GCD of given numbers 309, 540, 224, 920 is 1

2. How to calculate the greatest common divisor of 309, 540, 224, 920?

We can find the highest common divisor of 309, 540, 224, 920 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, 540, 224, 920 i.e 1.

3. How can I use the GCD of 309, 540, 224, 920Calculator?

Out the numbers 309, 540, 224, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.