GCD of 900, 732, 129, 871 Calculator

Given Input numbers are 900, 732, 129, 871

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (900, 732, 129, 871) = 1.

Given numbers are 900, 732, 129, 871

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 732 are 2 x 2 x 3 x 61

Prime factors of 129 are 3 x 43

Prime factors of 871 are 13 x 67

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

Given numbers are 900, 732, 129, 871

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

Apply this formula for all numbers.

Step1:

LCM(900, 732) = 54900

GCD(900, 732) = ( 900 x 732 ) / 54900

= 900 / 732

= 900

Step2:

LCM(12, 129) = 516

GCD(12, 129) = ( 12 x 129 ) / 516

= 12 / 129

= 12

Step3:

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

= 3 / 871

= 3

So, Greatest Common Divisor of 900, 732, 129, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 964, 284, 140
• GCD of 904, 915, 688, 292
• GCD of 540, 664, 456, 180
• GCD of 999, 190, 335, 922
• GCD of 977, 383, 631, 400

Given numbers are 900, 732, 129, 871
The greatest common divisor of numbers 900, 732, 129, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 732, 129, 871 is 1.

1. What is the GCD of 900, 732, 129, 871?

GCD of given numbers 900, 732, 129, 871 is 1

2. How to calculate the greatest common divisor of 900, 732, 129, 871?

We can find the highest common divisor of 900, 732, 129, 871 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, 732, 129, 871 i.e 1.

3. How can I use the GCD of 900, 732, 129, 871Calculator?

Out the numbers 900, 732, 129, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.