GCD of 576, 854, 120, 136 Calculator

Given Input numbers are 576, 854, 120, 136

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (576, 854, 120, 136) = 2.

Given numbers are 576, 854, 120, 136

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 854 are 2 x 7 x 61

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 576, 854, 120, 136 is 2.

Given numbers are 576, 854, 120, 136

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

Apply this formula for all numbers.

Step1:

LCM(576, 854) = 245952

GCD(576, 854) = ( 576 x 854 ) / 245952

= 576 / 854

= 576

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 576, 854, 120, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 391, 251, 550
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• GCD of 941, 548, 407, 960
• GCD of 294, 438, 634, 801
• GCD of 532, 275, 499, 202

Given numbers are 576, 854, 120, 136
The greatest common divisor of numbers 576, 854, 120, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 854, 120, 136 is 2.

1. What is the GCD of 576, 854, 120, 136?

GCD of given numbers 576, 854, 120, 136 is 2

2. How to calculate the greatest common divisor of 576, 854, 120, 136?

We can find the highest common divisor of 576, 854, 120, 136 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 576, 854, 120, 136 i.e 2.

3. How can I use the GCD of 576, 854, 120, 136Calculator?

Out the numbers 576, 854, 120, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.