GCD of 900, 743, 260, 238 Calculator

Given Input numbers are 900, 743, 260, 238

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (900, 743, 260, 238) = 1.

Given numbers are 900, 743, 260, 238

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 743 are 743

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 900, 743, 260, 238

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

Apply this formula for all numbers.

Step1:

LCM(900, 743) = 668700

GCD(900, 743) = ( 900 x 743 ) / 668700

= 900 / 743

= 900

Step2:

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

= 1 / 260

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 900, 743, 260, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 320, 325, 310
• GCD of 829, 178, 357, 216
• GCD of 280, 533, 973, 954
• GCD of 228, 621, 982, 222
• GCD of 473, 132, 838, 575

Given numbers are 900, 743, 260, 238
The greatest common divisor of numbers 900, 743, 260, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 743, 260, 238 is 1.

1. What is the GCD of 900, 743, 260, 238?

GCD of given numbers 900, 743, 260, 238 is 1

2. How to calculate the greatest common divisor of 900, 743, 260, 238?

We can find the highest common divisor of 900, 743, 260, 238 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, 743, 260, 238 i.e 1.

3. How can I use the GCD of 900, 743, 260, 238Calculator?

Out the numbers 900, 743, 260, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.