GCD of 972, 746, 890, 827 Calculator

Given Input numbers are 972, 746, 890, 827

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

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (972, 746, 890, 827) = 1.

Given numbers are 972, 746, 890, 827

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 890 are 2 x 5 x 89

Prime factors of 827 are 827

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

Given numbers are 972, 746, 890, 827

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

Apply this formula for all numbers.

Step1:

LCM(972, 746) = 362556

GCD(972, 746) = ( 972 x 746 ) / 362556

= 972 / 746

= 972

Step2:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

So, Greatest Common Divisor of 972, 746, 890, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 242, 188, 692
• GCD of 176, 236, 109, 477
• GCD of 389, 770, 870, 192
• GCD of 507, 246, 668, 310
• GCD of 197, 250, 425, 639

Given numbers are 972, 746, 890, 827
The greatest common divisor of numbers 972, 746, 890, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 746, 890, 827 is 1.

1. What is the GCD of 972, 746, 890, 827?

GCD of given numbers 972, 746, 890, 827 is 1

2. How to calculate the greatest common divisor of 972, 746, 890, 827?

We can find the highest common divisor of 972, 746, 890, 827 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 972, 746, 890, 827 i.e 1.

3. How can I use the GCD of 972, 746, 890, 827Calculator?

Out the numbers 972, 746, 890, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.