GCD of 975, 720, 296, 561 Calculator

Given Input numbers are 975, 720, 296, 561

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 561 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (975, 720, 296, 561) = 1.

Given numbers are 975, 720, 296, 561

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 975, 720, 296, 561

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

Apply this formula for all numbers.

Step1:

LCM(975, 720) = 46800

GCD(975, 720) = ( 975 x 720 ) / 46800

= 975 / 720

= 975

Step2:

LCM(15, 296) = 4440

GCD(15, 296) = ( 15 x 296 ) / 4440

= 15 / 296

= 15

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 975, 720, 296, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 989, 876, 379
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Given numbers are 975, 720, 296, 561
The greatest common divisor of numbers 975, 720, 296, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 720, 296, 561 is 1.

1. What is the GCD of 975, 720, 296, 561?

GCD of given numbers 975, 720, 296, 561 is 1

2. How to calculate the greatest common divisor of 975, 720, 296, 561?

We can find the highest common divisor of 975, 720, 296, 561 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 975, 720, 296, 561 i.e 1.

3. How can I use the GCD of 975, 720, 296, 561Calculator?

Out the numbers 975, 720, 296, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.