GCD of 195, 289, 112, 126 Calculator

Given Input numbers are 195, 289, 112, 126

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (195, 289, 112, 126) = 1.

Given numbers are 195, 289, 112, 126

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 289 are 17 x 17

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

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

Given numbers are 195, 289, 112, 126

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

Apply this formula for all numbers.

Step1:

LCM(195, 289) = 56355

GCD(195, 289) = ( 195 x 289 ) / 56355

= 195 / 289

= 195

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

So, Greatest Common Divisor of 195, 289, 112, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 530, 994, 191
• GCD of 443, 635, 178, 940
• GCD of 449, 736, 564, 802
• GCD of 967, 709, 961, 969
• GCD of 959, 658, 476, 921

Given numbers are 195, 289, 112, 126
The greatest common divisor of numbers 195, 289, 112, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 289, 112, 126 is 1.

1. What is the GCD of 195, 289, 112, 126?

GCD of given numbers 195, 289, 112, 126 is 1

2. How to calculate the greatest common divisor of 195, 289, 112, 126?

We can find the highest common divisor of 195, 289, 112, 126 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 195, 289, 112, 126 i.e 1.

3. How can I use the GCD of 195, 289, 112, 126Calculator?

Out the numbers 195, 289, 112, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.