GCD of 561, 723, 150, 310 Calculator

Given Input numbers are 561, 723, 150, 310

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (561, 723, 150, 310) = 1.

Given numbers are 561, 723, 150, 310

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 723 are 3 x 241

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 561, 723, 150, 310

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

Apply this formula for all numbers.

Step1:

LCM(561, 723) = 135201

GCD(561, 723) = ( 561 x 723 ) / 135201

= 561 / 723

= 561

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3

So, Greatest Common Divisor of 561, 723, 150, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 534, 230, 731
• GCD of 832, 480, 729, 945
• GCD of 402, 136, 667, 143
• GCD of 540, 244, 241, 648
• GCD of 254, 387, 879, 751

Given numbers are 561, 723, 150, 310
The greatest common divisor of numbers 561, 723, 150, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 723, 150, 310 is 1.

1. What is the GCD of 561, 723, 150, 310?

GCD of given numbers 561, 723, 150, 310 is 1

2. How to calculate the greatest common divisor of 561, 723, 150, 310?

We can find the highest common divisor of 561, 723, 150, 310 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 561, 723, 150, 310 i.e 1.

3. How can I use the GCD of 561, 723, 150, 310Calculator?

Out the numbers 561, 723, 150, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.