GCD of 900, 871, 532, 971 Calculator

Given Input numbers are 900, 871, 532, 971

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 871 :

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

1, 13, 67, 871

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (900, 871, 532, 971) = 1.

Given numbers are 900, 871, 532, 971

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 871 are 13 x 67

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 971 are 971

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

Given numbers are 900, 871, 532, 971

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

Apply this formula for all numbers.

Step1:

LCM(900, 871) = 783900

GCD(900, 871) = ( 900 x 871 ) / 783900

= 900 / 871

= 900

Step2:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 900, 871, 532, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 290, 587, 223
• GCD of 278, 228, 560, 242
• GCD of 406, 874, 605, 878
• GCD of 700, 622, 582, 631
• GCD of 120, 183, 317, 392

Given numbers are 900, 871, 532, 971
The greatest common divisor of numbers 900, 871, 532, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 871, 532, 971 is 1.

1. What is the GCD of 900, 871, 532, 971?

GCD of given numbers 900, 871, 532, 971 is 1

2. How to calculate the greatest common divisor of 900, 871, 532, 971?

We can find the highest common divisor of 900, 871, 532, 971 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, 871, 532, 971 i.e 1.

3. How can I use the GCD of 900, 871, 532, 971Calculator?

Out the numbers 900, 871, 532, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.