GCD of 891, 865, 747, 972 Calculator

Given Input numbers are 891, 865, 747, 972

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 (891, 865, 747, 972) = 1.

Given numbers are 891, 865, 747, 972

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 865 are 5 x 173

Prime factors of 747 are 3 x 3 x 83

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 891, 865, 747, 972

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

Apply this formula for all numbers.

Step1:

LCM(891, 865) = 770715

GCD(891, 865) = ( 891 x 865 ) / 770715

= 891 / 865

= 891

Step2:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 891, 865, 747, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 377, 292, 233
• GCD of 441, 280, 972, 105
• GCD of 449, 430, 959, 775
• GCD of 484, 665, 639, 352
• GCD of 206, 938, 553, 114

Given numbers are 891, 865, 747, 972
The greatest common divisor of numbers 891, 865, 747, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 865, 747, 972 is 1.

1. What is the GCD of 891, 865, 747, 972?

GCD of given numbers 891, 865, 747, 972 is 1

2. How to calculate the greatest common divisor of 891, 865, 747, 972?

We can find the highest common divisor of 891, 865, 747, 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 891, 865, 747, 972 i.e 1.

3. How can I use the GCD of 891, 865, 747, 972Calculator?

Out the numbers 891, 865, 747, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.