GCD of 900, 143, 973, 147 Calculator

Given Input numbers are 900, 143, 973, 147

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (900, 143, 973, 147) = 1.

Given numbers are 900, 143, 973, 147

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 143 are 11 x 13

Prime factors of 973 are 7 x 139

Prime factors of 147 are 3 x 7 x 7

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

Given numbers are 900, 143, 973, 147

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

Apply this formula for all numbers.

Step1:

LCM(900, 143) = 128700

GCD(900, 143) = ( 900 x 143 ) / 128700

= 900 / 143

= 900

Step2:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1

Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1

So, Greatest Common Divisor of 900, 143, 973, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 208, 498, 729
• GCD of 191, 278, 886, 414
• GCD of 252, 218, 940, 874
• GCD of 495, 902, 968, 849
• GCD of 636, 134, 843, 668

Given numbers are 900, 143, 973, 147
The greatest common divisor of numbers 900, 143, 973, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 143, 973, 147 is 1.

1. What is the GCD of 900, 143, 973, 147?

GCD of given numbers 900, 143, 973, 147 is 1

2. How to calculate the greatest common divisor of 900, 143, 973, 147?

We can find the highest common divisor of 900, 143, 973, 147 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, 143, 973, 147 i.e 1.

3. How can I use the GCD of 900, 143, 973, 147Calculator?

Out the numbers 900, 143, 973, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.