GCD of 900, 447, 141, 965 Calculator

Given Input numbers are 900, 447, 141, 965

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (900, 447, 141, 965) = 1.

Given numbers are 900, 447, 141, 965

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 447 are 3 x 149

Prime factors of 141 are 3 x 47

Prime factors of 965 are 5 x 193

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

Given numbers are 900, 447, 141, 965

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

Apply this formula for all numbers.

Step1:

LCM(900, 447) = 134100

GCD(900, 447) = ( 900 x 447 ) / 134100

= 900 / 447

= 900

Step2:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

Step3:

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

= 3 / 965

= 3

So, Greatest Common Divisor of 900, 447, 141, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 580, 754, 702
• GCD of 427, 498, 541, 317
• GCD of 705, 855, 425, 554
• GCD of 697, 543, 399, 221
• GCD of 964, 937, 968, 683

Given numbers are 900, 447, 141, 965
The greatest common divisor of numbers 900, 447, 141, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 447, 141, 965 is 1.

1. What is the GCD of 900, 447, 141, 965?

GCD of given numbers 900, 447, 141, 965 is 1

2. How to calculate the greatest common divisor of 900, 447, 141, 965?

We can find the highest common divisor of 900, 447, 141, 965 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, 447, 141, 965 i.e 1.

3. How can I use the GCD of 900, 447, 141, 965Calculator?

Out the numbers 900, 447, 141, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.