GCD of 748, 450, 730, 135 Calculator

Given Input numbers are 748, 450, 730, 135

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (748, 450, 730, 135) = 1.

Given numbers are 748, 450, 730, 135

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 730 are 2 x 5 x 73

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 748, 450, 730, 135

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

Apply this formula for all numbers.

Step1:

LCM(748, 450) = 168300

GCD(748, 450) = ( 748 x 450 ) / 168300

= 748 / 450

= 748

Step2:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 748, 450, 730, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 328, 446, 667
• GCD of 575, 630, 688, 918
• GCD of 266, 356, 398, 799
• GCD of 765, 638, 364, 454
• GCD of 268, 411, 139, 397

Given numbers are 748, 450, 730, 135
The greatest common divisor of numbers 748, 450, 730, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 450, 730, 135 is 1.

1. What is the GCD of 748, 450, 730, 135?

GCD of given numbers 748, 450, 730, 135 is 1

2. How to calculate the greatest common divisor of 748, 450, 730, 135?

We can find the highest common divisor of 748, 450, 730, 135 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 748, 450, 730, 135 i.e 1.

3. How can I use the GCD of 748, 450, 730, 135Calculator?

Out the numbers 748, 450, 730, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.