GCD of 746, 960, 972, 427 Calculator

Given Input numbers are 746, 960, 972, 427

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (746, 960, 972, 427) = 1.

Given numbers are 746, 960, 972, 427

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 427 are 7 x 61

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

Given numbers are 746, 960, 972, 427

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

Apply this formula for all numbers.

Step1:

LCM(746, 960) = 358080

GCD(746, 960) = ( 746 x 960 ) / 358080

= 746 / 960

= 746

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2

So, Greatest Common Divisor of 746, 960, 972, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 141, 645, 761
• GCD of 123, 743, 311, 401
• GCD of 242, 380, 986, 619
• GCD of 645, 510, 819, 813
• GCD of 652, 744, 567, 537

Given numbers are 746, 960, 972, 427
The greatest common divisor of numbers 746, 960, 972, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 960, 972, 427 is 1.

1. What is the GCD of 746, 960, 972, 427?

GCD of given numbers 746, 960, 972, 427 is 1

2. How to calculate the greatest common divisor of 746, 960, 972, 427?

We can find the highest common divisor of 746, 960, 972, 427 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 746, 960, 972, 427 i.e 1.

3. How can I use the GCD of 746, 960, 972, 427Calculator?

Out the numbers 746, 960, 972, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.