GCD of 146, 108, 768, 100 Calculator

Given Input numbers are 146, 108, 768, 100

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (146, 108, 768, 100) = 2.

Given numbers are 146, 108, 768, 100

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 146, 108, 768, 100 is 2.

Given numbers are 146, 108, 768, 100

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

Apply this formula for all numbers.

Step1:

LCM(146, 108) = 7884

GCD(146, 108) = ( 146 x 108 ) / 7884

= 146 / 108

= 146

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 146, 108, 768, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 942, 129, 668
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• GCD of 442, 864, 512, 981

Given numbers are 146, 108, 768, 100
The greatest common divisor of numbers 146, 108, 768, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 108, 768, 100 is 2.

1. What is the GCD of 146, 108, 768, 100?

GCD of given numbers 146, 108, 768, 100 is 2

2. How to calculate the greatest common divisor of 146, 108, 768, 100?

We can find the highest common divisor of 146, 108, 768, 100 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 146, 108, 768, 100 i.e 2.

3. How can I use the GCD of 146, 108, 768, 100Calculator?

Out the numbers 146, 108, 768, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.