GCD of 269, 872, 131, 112 Calculator

Given Input numbers are 269, 872, 131, 112

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (269, 872, 131, 112) = 1.

Given numbers are 269, 872, 131, 112

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 131 are 131

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

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

Given numbers are 269, 872, 131, 112

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

Apply this formula for all numbers.

Step1:

LCM(269, 872) = 234568

GCD(269, 872) = ( 269 x 872 ) / 234568

= 269 / 872

= 269

Step2:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

Step3:

LCM(1, 112) = 112

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

= 1 / 112

= 1

So, Greatest Common Divisor of 269, 872, 131, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 613, 756, 739
• GCD of 111, 839, 181, 815
• GCD of 639, 307, 842, 259
• GCD of 533, 618, 505, 839
• GCD of 581, 155, 800, 289

Given numbers are 269, 872, 131, 112
The greatest common divisor of numbers 269, 872, 131, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 872, 131, 112 is 1.

1. What is the GCD of 269, 872, 131, 112?

GCD of given numbers 269, 872, 131, 112 is 1

2. How to calculate the greatest common divisor of 269, 872, 131, 112?

We can find the highest common divisor of 269, 872, 131, 112 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 269, 872, 131, 112 i.e 1.

3. How can I use the GCD of 269, 872, 131, 112Calculator?

Out the numbers 269, 872, 131, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.