GCD of 108, 896, 964, 269 Calculator

Given Input numbers are 108, 896, 964, 269

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 269 :

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

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (108, 896, 964, 269) = 1.

Given numbers are 108, 896, 964, 269

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 964 are 2 x 2 x 241

Prime factors of 269 are 269

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

Given numbers are 108, 896, 964, 269

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

Apply this formula for all numbers.

Step1:

LCM(108, 896) = 24192

GCD(108, 896) = ( 108 x 896 ) / 24192

= 108 / 896

= 108

Step2:

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

= 4 / 964

= 4

Step3:

LCM(4, 269) = 1076

GCD(4, 269) = ( 4 x 269 ) / 1076

= 4 / 269

= 4

So, Greatest Common Divisor of 108, 896, 964, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 289, 521, 135
• GCD of 279, 480, 750, 947
• GCD of 513, 621, 784, 854
• GCD of 181, 852, 722, 806
• GCD of 932, 574, 924, 599

Given numbers are 108, 896, 964, 269
The greatest common divisor of numbers 108, 896, 964, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 896, 964, 269 is 1.

1. What is the GCD of 108, 896, 964, 269?

GCD of given numbers 108, 896, 964, 269 is 1

2. How to calculate the greatest common divisor of 108, 896, 964, 269?

We can find the highest common divisor of 108, 896, 964, 269 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 108, 896, 964, 269 i.e 1.

3. How can I use the GCD of 108, 896, 964, 269Calculator?

Out the numbers 108, 896, 964, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.