GCD of 918, 772, 869, 112 Calculator

Given Input numbers are 918, 772, 869, 112

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

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 (918, 772, 869, 112) = 1.

Given numbers are 918, 772, 869, 112

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 772 are 2 x 2 x 193

Prime factors of 869 are 11 x 79

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 918, 772, 869, 112

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

Apply this formula for all numbers.

Step1:

LCM(918, 772) = 354348

GCD(918, 772) = ( 918 x 772 ) / 354348

= 918 / 772

= 918

Step2:

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

= 2 / 869

= 2

Step3:

LCM(1, 112) = 112

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

= 1 / 112

= 1

So, Greatest Common Divisor of 918, 772, 869, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 639, 143, 411
• GCD of 343, 565, 345, 598
• GCD of 186, 206, 975, 812
• GCD of 914, 986, 255, 954
• GCD of 840, 142, 824, 707

Given numbers are 918, 772, 869, 112
The greatest common divisor of numbers 918, 772, 869, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 772, 869, 112 is 1.

1. What is the GCD of 918, 772, 869, 112?

GCD of given numbers 918, 772, 869, 112 is 1

2. How to calculate the greatest common divisor of 918, 772, 869, 112?

We can find the highest common divisor of 918, 772, 869, 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 918, 772, 869, 112 i.e 1.

3. How can I use the GCD of 918, 772, 869, 112Calculator?

Out the numbers 918, 772, 869, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.