GCD of 745, 123, 975, 462 Calculator

Given Input numbers are 745, 123, 975, 462

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (745, 123, 975, 462) = 1.

Given numbers are 745, 123, 975, 462

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 123 are 3 x 41

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 745, 123, 975, 462

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

Apply this formula for all numbers.

Step1:

LCM(745, 123) = 91635

GCD(745, 123) = ( 745 x 123 ) / 91635

= 745 / 123

= 745

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 745, 123, 975, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 714, 467, 445
• GCD of 198, 369, 602, 182
• GCD of 260, 889, 254, 831
• GCD of 914, 256, 196, 763
• GCD of 160, 912, 274, 905

Given numbers are 745, 123, 975, 462
The greatest common divisor of numbers 745, 123, 975, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 123, 975, 462 is 1.

1. What is the GCD of 745, 123, 975, 462?

GCD of given numbers 745, 123, 975, 462 is 1

2. How to calculate the greatest common divisor of 745, 123, 975, 462?

We can find the highest common divisor of 745, 123, 975, 462 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 745, 123, 975, 462 i.e 1.

3. How can I use the GCD of 745, 123, 975, 462Calculator?

Out the numbers 745, 123, 975, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.