GCD of 738, 650, 825, 648 Calculator

Given Input numbers are 738, 650, 825, 648

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (738, 650, 825, 648) = 1.

Given numbers are 738, 650, 825, 648

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 648 are 2 x 2 x 2 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 738, 650, 825, 648

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

Apply this formula for all numbers.

Step1:

LCM(738, 650) = 239850

GCD(738, 650) = ( 738 x 650 ) / 239850

= 738 / 650

= 738

Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

So, Greatest Common Divisor of 738, 650, 825, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 586, 199, 144
• GCD of 867, 608, 732, 676
• GCD of 413, 458, 546, 110
• GCD of 964, 598, 796, 724
• GCD of 739, 972, 484, 719

Given numbers are 738, 650, 825, 648
The greatest common divisor of numbers 738, 650, 825, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 650, 825, 648 is 1.

1. What is the GCD of 738, 650, 825, 648?

GCD of given numbers 738, 650, 825, 648 is 1

2. How to calculate the greatest common divisor of 738, 650, 825, 648?

We can find the highest common divisor of 738, 650, 825, 648 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, 650, 825, 648 i.e 1.

3. How can I use the GCD of 738, 650, 825, 648Calculator?

Out the numbers 738, 650, 825, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.