GCD of 738, 252, 747, 460 Calculator

Given Input numbers are 738, 252, 747, 460

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (738, 252, 747, 460) = 1.

Given numbers are 738, 252, 747, 460

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 747 are 3 x 3 x 83

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 738, 252, 747, 460

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

Apply this formula for all numbers.

Step1:

LCM(738, 252) = 10332

GCD(738, 252) = ( 738 x 252 ) / 10332

= 738 / 252

= 738

Step2:

LCM(18, 747) = 1494

GCD(18, 747) = ( 18 x 747 ) / 1494

= 18 / 747

= 18

Step3:

LCM(9, 460) = 4140

GCD(9, 460) = ( 9 x 460 ) / 4140

= 9 / 460

= 9

So, Greatest Common Divisor of 738, 252, 747, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 453, 795, 730
• GCD of 788, 888, 752, 682
• GCD of 525, 315, 822, 789
• GCD of 875, 713, 979, 849
• GCD of 225, 689, 202, 412

Given numbers are 738, 252, 747, 460
The greatest common divisor of numbers 738, 252, 747, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 252, 747, 460 is 1.

1. What is the GCD of 738, 252, 747, 460?

GCD of given numbers 738, 252, 747, 460 is 1

2. How to calculate the greatest common divisor of 738, 252, 747, 460?

We can find the highest common divisor of 738, 252, 747, 460 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 738, 252, 747, 460 i.e 1.

3. How can I use the GCD of 738, 252, 747, 460Calculator?

Out the numbers 738, 252, 747, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.