GCD of 576, 890, 138, 752 Calculator

Given Input numbers are 576, 890, 138, 752

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 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (576, 890, 138, 752) = 2.

Given numbers are 576, 890, 138, 752

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 890 are 2 x 5 x 89

Prime factors of 138 are 2 x 3 x 23

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 576, 890, 138, 752 is 2.

Given numbers are 576, 890, 138, 752

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

Apply this formula for all numbers.

Step1:

LCM(576, 890) = 256320

GCD(576, 890) = ( 576 x 890 ) / 256320

= 576 / 890

= 576

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 576, 890, 138, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 119, 467, 877
• GCD of 205, 141, 421, 101
• GCD of 659, 856, 182, 642
• GCD of 364, 849, 824, 205
• GCD of 114, 501, 237, 759

Given numbers are 576, 890, 138, 752
The greatest common divisor of numbers 576, 890, 138, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 890, 138, 752 is 2.

1. What is the GCD of 576, 890, 138, 752?

GCD of given numbers 576, 890, 138, 752 is 2

2. How to calculate the greatest common divisor of 576, 890, 138, 752?

We can find the highest common divisor of 576, 890, 138, 752 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, 890, 138, 752 i.e 2.

3. How can I use the GCD of 576, 890, 138, 752Calculator?

Out the numbers 576, 890, 138, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.