GCD of 133, 825, 450, 961 Calculator

Given Input numbers are 133, 825, 450, 961

In the factoring method, we have to find the divisors of all numbers

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (133, 825, 450, 961) = 1.

Given numbers are 133, 825, 450, 961

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 961 are 31 x 31

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

Given numbers are 133, 825, 450, 961

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

Apply this formula for all numbers.

Step1:

LCM(133, 825) = 109725

GCD(133, 825) = ( 133 x 825 ) / 109725

= 133 / 825

= 133

Step2:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 133, 825, 450, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 538, 675, 124
• GCD of 337, 608, 101, 502
• GCD of 839, 281, 401, 361
• GCD of 772, 216, 827, 327
• GCD of 546, 233, 179, 596

Given numbers are 133, 825, 450, 961
The greatest common divisor of numbers 133, 825, 450, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 825, 450, 961 is 1.

1. What is the GCD of 133, 825, 450, 961?

GCD of given numbers 133, 825, 450, 961 is 1

2. How to calculate the greatest common divisor of 133, 825, 450, 961?

We can find the highest common divisor of 133, 825, 450, 961 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 133, 825, 450, 961 i.e 1.

3. How can I use the GCD of 133, 825, 450, 961Calculator?

Out the numbers 133, 825, 450, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.