GCD of 981, 734, 831, 972 Calculator

Given Input numbers are 981, 734, 831, 972

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (981, 734, 831, 972) = 1.

Given numbers are 981, 734, 831, 972

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 734 are 2 x 367

Prime factors of 831 are 3 x 277

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 981, 734, 831, 972

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

Apply this formula for all numbers.

Step1:

LCM(981, 734) = 720054

GCD(981, 734) = ( 981 x 734 ) / 720054

= 981 / 734

= 981

Step2:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 981, 734, 831, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 533, 891, 506
• GCD of 914, 413, 972, 218
• GCD of 551, 365, 434, 599
• GCD of 683, 318, 431, 317
• GCD of 741, 569, 556, 558

Given numbers are 981, 734, 831, 972
The greatest common divisor of numbers 981, 734, 831, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 734, 831, 972 is 1.

1. What is the GCD of 981, 734, 831, 972?

GCD of given numbers 981, 734, 831, 972 is 1

2. How to calculate the greatest common divisor of 981, 734, 831, 972?

We can find the highest common divisor of 981, 734, 831, 972 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, 734, 831, 972 i.e 1.

3. How can I use the GCD of 981, 734, 831, 972Calculator?

Out the numbers 981, 734, 831, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.