GCD of 108, 900, 896, 149 Calculator

Given Input numbers are 108, 900, 896, 149

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (108, 900, 896, 149) = 1.

Given numbers are 108, 900, 896, 149

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 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 149 are 149

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

Given numbers are 108, 900, 896, 149

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

Apply this formula for all numbers.

Step1:

LCM(108, 900) = 2700

GCD(108, 900) = ( 108 x 900 ) / 2700

= 108 / 900

= 108

Step2:

LCM(36, 896) = 8064

GCD(36, 896) = ( 36 x 896 ) / 8064

= 36 / 896

= 36

Step3:

LCM(4, 149) = 596

GCD(4, 149) = ( 4 x 149 ) / 596

= 4 / 149

= 4

So, Greatest Common Divisor of 108, 900, 896, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 134, 100, 314
• GCD of 938, 560, 151, 297
• GCD of 799, 598, 321, 402
• GCD of 844, 664, 721, 784
• GCD of 304, 777, 766, 710

Given numbers are 108, 900, 896, 149
The greatest common divisor of numbers 108, 900, 896, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 900, 896, 149 is 1.

1. What is the GCD of 108, 900, 896, 149?

GCD of given numbers 108, 900, 896, 149 is 1

2. How to calculate the greatest common divisor of 108, 900, 896, 149?

We can find the highest common divisor of 108, 900, 896, 149 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, 900, 896, 149 i.e 1.

3. How can I use the GCD of 108, 900, 896, 149Calculator?

Out the numbers 108, 900, 896, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.