GCD of 296, 182, 961, 225 Calculator

Given Input numbers are 296, 182, 961, 225

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 961 :

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

1, 31, 961

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (296, 182, 961, 225) = 1.

Given numbers are 296, 182, 961, 225

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 182 are 2 x 7 x 13

Prime factors of 961 are 31 x 31

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 296, 182, 961, 225

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

Apply this formula for all numbers.

Step1:

LCM(296, 182) = 26936

GCD(296, 182) = ( 296 x 182 ) / 26936

= 296 / 182

= 296

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 296, 182, 961, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 114, 285, 159
• GCD of 636, 373, 307, 179
• GCD of 979, 724, 249, 103
• GCD of 317, 847, 516, 265
• GCD of 224, 269, 327, 337

Given numbers are 296, 182, 961, 225
The greatest common divisor of numbers 296, 182, 961, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 182, 961, 225 is 1.

1. What is the GCD of 296, 182, 961, 225?

GCD of given numbers 296, 182, 961, 225 is 1

2. How to calculate the greatest common divisor of 296, 182, 961, 225?

We can find the highest common divisor of 296, 182, 961, 225 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 296, 182, 961, 225 i.e 1.

3. How can I use the GCD of 296, 182, 961, 225Calculator?

Out the numbers 296, 182, 961, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.