GCD of 981, 363, 780, 744 Calculator

Given Input numbers are 981, 363, 780, 744

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

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

GCD of numbers is the greatest common divisor

So, the GCD (981, 363, 780, 744) = 3.

Given numbers are 981, 363, 780, 744

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 363 are 3 x 11 x 11

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 981, 363, 780, 744 is 3.

Given numbers are 981, 363, 780, 744

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

Apply this formula for all numbers.

Step1:

LCM(981, 363) = 118701

GCD(981, 363) = ( 981 x 363 ) / 118701

= 981 / 363

= 981

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3

So, Greatest Common Divisor of 981, 363, 780, 744 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 930, 358, 260
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Given numbers are 981, 363, 780, 744
The greatest common divisor of numbers 981, 363, 780, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 363, 780, 744 is 3.

1. What is the GCD of 981, 363, 780, 744?

GCD of given numbers 981, 363, 780, 744 is 3

2. How to calculate the greatest common divisor of 981, 363, 780, 744?

We can find the highest common divisor of 981, 363, 780, 744 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 981, 363, 780, 744 i.e 3.

3. How can I use the GCD of 981, 363, 780, 744Calculator?

Out the numbers 981, 363, 780, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.