GCD of 900, 748, 760, 243 Calculator

Given Input numbers are 900, 748, 760, 243

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (900, 748, 760, 243) = 1.

Given numbers are 900, 748, 760, 243

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 243 are 3 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 900, 748, 760, 243

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

Apply this formula for all numbers.

Step1:

LCM(900, 748) = 168300

GCD(900, 748) = ( 900 x 748 ) / 168300

= 900 / 748

= 900

Step2:

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

= 4 / 760

= 4

Step3:

LCM(4, 243) = 972

GCD(4, 243) = ( 4 x 243 ) / 972

= 4 / 243

= 4

So, Greatest Common Divisor of 900, 748, 760, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 218, 245, 614
• GCD of 305, 737, 801, 466
• GCD of 531, 981, 635, 878
• GCD of 574, 537, 596, 819
• GCD of 743, 714, 700, 351

Given numbers are 900, 748, 760, 243
The greatest common divisor of numbers 900, 748, 760, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 748, 760, 243 is 1.

1. What is the GCD of 900, 748, 760, 243?

GCD of given numbers 900, 748, 760, 243 is 1

2. How to calculate the greatest common divisor of 900, 748, 760, 243?

We can find the highest common divisor of 900, 748, 760, 243 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 900, 748, 760, 243 i.e 1.

3. How can I use the GCD of 900, 748, 760, 243Calculator?

Out the numbers 900, 748, 760, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.