GCD of 480, 744, 775, 981 Calculator

Given Input numbers are 480, 744, 775, 981

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (480, 744, 775, 981) = 1.

Given numbers are 480, 744, 775, 981

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 775 are 5 x 5 x 31

Prime factors of 981 are 3 x 3 x 109

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

Given numbers are 480, 744, 775, 981

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

Apply this formula for all numbers.

Step1:

LCM(480, 744) = 14880

GCD(480, 744) = ( 480 x 744 ) / 14880

= 480 / 744

= 480

Step2:

LCM(24, 775) = 18600

GCD(24, 775) = ( 24 x 775 ) / 18600

= 24 / 775

= 24

Step3:

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

= 1 / 981

= 1

So, Greatest Common Divisor of 480, 744, 775, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 484, 713, 226
• GCD of 808, 377, 647, 562
• GCD of 815, 711, 871, 781
• GCD of 420, 578, 481, 123
• GCD of 882, 128, 251, 911

Given numbers are 480, 744, 775, 981
The greatest common divisor of numbers 480, 744, 775, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 744, 775, 981 is 1.

1. What is the GCD of 480, 744, 775, 981?

GCD of given numbers 480, 744, 775, 981 is 1

2. How to calculate the greatest common divisor of 480, 744, 775, 981?

We can find the highest common divisor of 480, 744, 775, 981 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 480, 744, 775, 981 i.e 1.

3. How can I use the GCD of 480, 744, 775, 981Calculator?

Out the numbers 480, 744, 775, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.